Vladimir Sharafutdinov  


Book and Lecture notes

  • V. A. Sharafutdinov
    Integral Geometry of Tensor Fields. VSP, Utrecht, The Netherlands, 1994. <PDF>

  • V. Sharafutdinov
    Ray Transform on Riemannian Manifolds. Eight Lectures on Integral Geometry (1999) <PDF>


  • Evgeny Malkovich and Vladimir Sharafutdinov
    Zeta-invariants of the Steklov spectrum for a planar domain. <PDF>

  • Jollivet A. and Sharafutdinov V.
    On an inverse problem for the Steklov spectrum of a Riemannian suface. <PDF>

  • Sharafutdinov V.
    Application of the geometric symbol calculus to computing heat invariants. <PDF>

  • Sharafutdinov V.
    Supplements to "Geometric symbol calculus for pseudodifferential operators". <PDF>

(Warning: the file of the paper might not coincide with the published version)


  1. Sharafutdinov V.
    The linearized problem of magneto-photoelasticity.
    Inverse Problems and Imaging, 2014, V. 8, no. 1, 247-257. <PDF>

  2. Sharafutdinov V. and Shonkwiler C.
    Complete Dirichlet-to-Neumann map on differential forms.
    Journal of Geometric Analysis, 2013, V. 23, no. 4, 2064-2080. DOI: 10.1007/s1220-012-9320-6. <PDF>

  3. Sharafutdinov V. and Wang J.
    Tomography of small residual stresses.
    Inverse Problems, 2012, V. 28, doi: 10.1088/0266-5611/28/6/065017, (17 pp). <PDF>

  4. Dairbekov N. and Sharafutdinov V.
    On conformal Killing symmetric tensor fields on Riemannian manifolds.
    Siberian Advances in Math. 21 (2011), no. 1, 1-41. <PDF>

  5. Sharafutdinov V.
    The geometrical problem of electrical impedance tomography in the disc.
    Siberian Math. J. 52 (2011), no. 1, 178-190. <PDF>

  6. Sharafutdinov V.
    Local audibility of a hyperbolic metric.
    Siberian Math. J. 50 (2009), no. 5, 929-944. <PDF>

  7. Lionheart W. and Sharafutdinov V.
    Reconstruction algorithm for the linearized polarization tomography problem with incomplete data.
    in Imaging Microstructures: Mathematical and Computational Challenges, Ed. Habib Ammari and Hyeonbae Kang,
    Contemporary Mathematics 494 (2009), 137-160. <PDF>

  8. Sharafutdinov V.
    Linearized inverse problem for the Dirichlet-to-Neumann operator on differential forms.
    Bull. Sci. math. 133 (2009), 419-444. <PDF>

  9. Sharafutdinov V.
    The problem of polarization tomography: II.
    Inverse Problems 24 (2008) 035010 (21 pp). <PDF>

  10. Belishev M. and Sharafutdinov V.
    Dirichlet to Neumann operator on differential forms.
    Bull. Sci. math. 132 (2008), 128-145. < PDF>

  11. Sharafutdinov V.
    Slice-by-slice reconstruction algorithm for vector tomography with incomplete data.
    Inverse Problems 23 (2007), 2603-2627. < PDF>

  12. Novikov R. and Sharafutdinov V.
    On the problem of polarization tomography: I.
    Inverse Problems 23 (2007), no. 3, 1229-1257. <PDF>

  13. Sharafutdinov V.
    Variations of Dirichlet-to-Neumann map and deformation boundary rigidity of simlpe 2-manifolds.
    J. Geom. Anal. 17 (2007), no. 1, 147-187. <PDF>

  14. Sharafutdinov V., Skokan M., and Uhlmann G.
    Regularity of ghosts in tensor tomography.
    J. Geom. Anal. 15 (2005), no. 3, 499-542. <PDF>

  15. Sharafutdinov V.
    Geometric symbol calculus for pseudodifferential operators: II.
    Siberian Adv. Math. 15 (2005), no. 4, 71-95. <PDF>

  16. Sharafutdinov V.
    Geometric symbol calculus for pseudodifferential operators: I.
    Siberian Adv. Math. 15(2005), no. 3, 81-125. <PDF>

  17. Sharafutdinov V.
    Ray transform and some rigidity problems for Riemannian metrics.
    Geometric Methods in Inverse Problems and PDE Control, 215-238,
    IMA Vol. Math. Appl., 137, Springer, New York, 2004. 137 (2003), 215--238. <PDF>

  18. Sharafutdinov V.
    Ray transform on Riemannian manifolds.
    New analytic and geometric methods in inverse problems, 187-259, Springer, Berlin, 2004. <PDF>

  19. Lassas M., Sharafutdinov V., Uhlmann G.
    Semiglobal boundary rigidity for Riemannian metrics.
    Math. Ann. 325 (2003), 767-793. <PDF>

  20. Dairbekov N. and Sharafutdinov V.
    Some problems of integral geometry on Anosov manifolds.
    Ergodic Theory and Dynamical Systems 23 (2003), 59-74. <PDF>

  21. Sharafutdinov V.
    A problem in integral geometry in a nonconvex domain.
    Siberian Math. J. 43 (2002), no. 6, 1159-1168.
    <PDF-1> <PDF-2>

  22. Sharafutdinov V. and Uhlmann G.
    On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points.
    J. Differential Geometry 56 (2000), 93-110. <PDF>

  23. Dairbekov N. S. and Sharafutdinov V. A.
    The problem of spectral rigidity for Anosov manifolds. (Russian)
    Proceedings of the conference “Geometry and Applications”, dedicated to the seventieth birthday of V. A. Toponogov (Russian). (Novosibirsk, 2000), 57-75, Ross. Akad. Nauk Sib. Otd., Inst. Mat., Novosibirsk, 2001.

  24. Belishev M. I., Isakov V. M., Pestov L. N., Sharafutdinov V. A.
    On the reconstruction of a metric from external electromagnetic measurements.
    Dokl. Akad. Nauk 372 (2000), no. 3, 298-300.

  25. Croke C. B., Dairbekov N. S., Sharafutdinov V. A.
    Local boundary rigidity of a compact Riemannian manifold with curvature bounded above. 
    Trans. Amer. Math. Soc. 352 (2000), no. 9, 3937-3956. <PDF>

  26. Sharafutdinov V. A.
    On the inverse problem of determining a connection on a vector bundle.
    J. Inverse Ill-Posed Probl. 8 (2000), no. 1, 51-88. <PDF>

  27. Derevtsov E. Yu., Kleshchev A. G., Sharafutdinov V. A.
    Numerical solution of the emission 2D-tomography problem for a medium with absorption and refraction.
    J. Inverse Ill-posed Probl. 7 (1999), no. 1, 83-103.

  28. Croke C. B., Sharafutdinov V. A.
    Spectral rigidity of a compact negatively curved manifold.
    Topology 37 (1998), no 6, 1265-1273. <PDF>

  29. Sharafutdinov V. A.
    Integral geometry of tensor fields on a surface of revolution.
    Siberian Math. J. 38 (1997), no. 3, ?? . <PDF>

  30. Sharafutdinov V. A.
    Linearized inverse problems of determining parameters of transversaly isotropic elastic media from measurements of refracted waves.
    J. Inverse Ill-posed Probl. 4 (1996), no. 3, 245-266. <PDF>

  31. Sharafutdinov V. A.
    An inverse problem of determining the source in the stationary transport equation for a Hamiltonean system.
    Siberian Math. J. 37 (1996), no. 1, 184-206. <PDF>

  32. Sharafutdinov V. A.
    A modified horizontal derivative and some its applications.
    Siberian Math. J. 36 (1995), no. 3, 574-607. <PDF>

  33. Sharafutdinov V. A.
    Finiteness theorem for the ray transform on Riemannian manifolds.
    Inverse Problems 11 (1995), 1039-1050. <PDF>

  34. Sharafutdinov V. A.
    On emission tomography of inhomogeneous media.
    SIAM J. Appl. Math. 55 (1995), no. 3, 707-718. <PDF>

  35. Sharafutdinov V. A.
    Quasi-isotropic approximation in dynamical elasticity and some problems of geotomography.
    Russian Geology and Geophysics 35 (1994), no. 5, 58-71. <PDF>

  36. Sharafutdinov V. A.
    An inverse problem of determining the source in the stationary transport equation for a refracting media.
    Siberian Math. J. 35 (1994), no. 4, 835-843.

  37. Sharafutdinov V. A.
    Mathematical aspects of polarization tomography.
    Applied problems of Radon Transform, 205-234,
    Amer. Math. Soc. Transl. Ser. 2, 162, Amer. Math. Soc., Providence, RI, 1994.

  38. Sharafutdinov V. A.
    Problem of polarization tomography. 
    J. Inverse Ill-posed Probl. 1 (1993), no. 1, 53-72.

  39. Sharafutdinov V. A.
    Integral geometry of tensor field on a manifold with upper bounded curvature.
    Siberian Math. J. 33 (1992), no. 3, 524-533.

  40. Sharafutdinov V. A.
    Tomographic problem of photoelasticity.
    Proceeding of SPIE (The International Society of Optical Engineering). Analytical Methods for Optical Tomography.
    G. Levin ed., November 1991, Zvenigorod, Russia, 234-243.

  41. Sharafutdinov V. A.
    The ray transform of symmetric tensor fields.
    Siberian Adv. Math. 1, (1991), no. 1, 160-184.

  42. Sharafutdinov V. A.
    The method of integral photo-elasticity in the case of weak optical anisotropy. (Russian)
    Eesti NSV Tead. Acad. Toimetised Fuus.-Mat. 38 (1989), no. 4, 379-389.

  43. L'vov I. V. and Sharafutdinov V. A.
    The tangential component of a tensor field.
    Siberian Math. J. 30 (1989), no. 5, 759-770.

  44. Sharafutdinov V. A.
    Integral geometry of a tensor field along geodesics of a metric that is close to the Euclidean metric.
    Soviet Math. Dokl. 39 (1989), no. 1, 221-224.

  45. Sharafutdinov V. A.
    The ray transform of symmetric tensor fields.
    Soviet Math. Dokl. 39 (1989), no. 1, 82-85.

  46. Pestov L. N. and Sharafutdinov V. A.
    Integral geometry of tensor fields on manifold of negative curvature.
    Siberian Math. J. 29 (1988), no. 3, 427-441.

  47. Sharafutdinov V. A.
    Plancherel's formula for a ray transform.
    Conventionally well-posed problems (Russian), 102-117,
    Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1988.

  48. Sharafutdinov V. A. 
    Integral geometry of a quadratic differential form for two-dimensional metrics that are close to the Euclidean metric.
    Soviet Math. Dokl. 37 (1988), no. 3, 700-703.

  49. Sharafutdinov V. A. 
    On the determination of a Lambert optical surface from three of its images.
    Questions of thr well-posedness of problems in mathematical physics and analysis
    (Russian), 151-166,
    Akad. Nauk SSSR Sibirsk. Otd., Vychisl. Tsentr, Novosibirsk, 1986.

  50. Sharafutdinov V. A.
    A problem of integral geometry for generalized tensor fields on Euclidean space. (Russian) 
    Dokl. Akad. Nauk SSSR 286 (1986), no. 2, 305-307.

  51. Sharafutdinov V. A.
    Symmetric tensor fields on Riemannian manifold.
    Preprint, 84-539. Akad. Nauk SSR Sibirsk. Otd., Vychisl. Tsentr, Novosibirsk, 1984, 47 pp.

  52. Sharafutdinov V. A.
    Problem of integral geometry for tensor fields and Saint-Venant equation.
    Siberian Math. J. 24 (1983), no. 6, 176-187.

  53. Romanov M. E. and Sharafutdinov V. A. 
    On certain equalities between velocity function and hodograph.
    Physics of Earth 10 (1982), 17-19.

  54. Sharafutdinov V. A.
    On geometrical divergence.
    in: Mathematical methods of interpretation of geophysics measurements
    (editor A. S. Alexeev), Novosibirsk, 1979, 161-179 (Russian).

  55. Stakheev A. V., Sharafutdinov V. A.
    On the determination of a Lambert optical curve from two its images. 
    in: Convention-correct problems of mathematical physics in interpretations of geophysical measurements (editor M. M. Lavrent'ev), Novosibirsk, 1978, 128-150 (Russian).

  56. Sharafutdinov V. A.
    On convex sets in a manifold of nonnegative curvature.
    Math. Notices 26 (1979), no. 1, 129-136.

  57. Sharafutdinov V. A. 
    The Pogorelov-Klingenberg theorem for manifolds that are homeomorphic to the Euclidean space.
    Siberian Math. J. 18 (1977), no. 4, 915-925. <PDF>

  58. Sharafutdinov V. A. 
    Injectivity radius of complete open manifold of nonnegative curvature.
    Dokl. Akad. Nauk SSSR 231 (1976), no. 1, 46-48.

  59. Sharafutdinov V. A.
    Complete open manifolds of nonnegative curvature.
    Siberian Math. J. 15 (1974), no. 1, 177-191. <PDF>

  60. Sharafutdinov V. A. 
    Relative Euler class and the Gauss-Bonnet theorem.
    Siberian Math. J. 14 (1973), no. 6, 1321-1335.

  61. Sharafutdinov V. A. 
    Convex sets in Riemannian manifolds. 
    Siberian Math. J. 14 (1973), no. 5, 1153-1155.
© 2007, Sobolev Institute of Mathematics of the SB RAS, Novosibirsk