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Volumn 56, Issue 1, 2000, Pages 93-110

On deformation boundary rigidity and spectral rigidity of riemannian surfaces with no focal points

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EID: 0039015727     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1090347526     Document Type: Article
Times cited : (42)

References (19)
  • 1
    • 0002564801 scopus 로고
    • Geodesic flows on closed Riemannian manifolds with negative curvature
    • D. Anosov, Geodesic flows on closed Riemannian manifolds with negative curvature, Proc. Steklov Inst. of Math., Vol. 90, 1967.
    • (1967) Proc. Steklov Inst. of Math , pp. 90
    • Anosov, D.1
  • 2
    • 1542743491 scopus 로고
    • On geodesic flows satisfying the condition (Y)
    • D. Anosov, On geodesic flows satisfying the condition (Y), Proc. Steklov Inst. Of Math., Vol. 167, 1985, 3-24.
    • (1985) Proc. Steklov Inst. of Math , vol.167 , pp. 3-24
    • Anosov, D.1
  • 3
    • 84972520524 scopus 로고
    • Rigidity and the distance between boundary points
    • C. B. Croke, Rigidity and the distance between boundary points, J. Differential Geom. 33 (1991) 445-464.
    • (1991) J. Differential Geom , vol.33 , pp. 445-464
    • Croke, C.B.1
  • 4
    • 0000230671 scopus 로고    scopus 로고
    • Spectral rigidity of a compact negatively curved manifold
    • C. B. Croke & V. A. Sharafutdinov, Spectral rigidity of a compact negatively curved manifold, Topology 37 (1998) 1265-1273.
    • (1998) Topology , vol.37 , pp. 1265-1273
    • Croke, C.B.1    Sharafutdinov, V.A.2
  • 6
    • 0000174457 scopus 로고
    • Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
    • R. De la Llave, J. M. Marco, & R. Moriyon, Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation, Ann. of Math. 123 (1986) 537-611.
    • (1986) Ann. of Math , vol.123 , pp. 537-611
    • De La Llave, R.1    Marco, J.M.2    Moriyon, R.3
  • 7
    • 84972513706 scopus 로고
    • When is a geodesic flow of Anosov type? I
    • P. Eberlein, When is a geodesic flow of Anosov type? I, J. Differential Geom. 8 (1973) 437-463.
    • (1973) J. Differential Geom , vol.8 , pp. 437-463
    • Eberlein, P.1
  • 8
    • 84956267209 scopus 로고
    • Filling Riemannian manifolds
    • M. Gromov, Filling Riemannian manifolds, J. Differential Geom. 18 (1983) 1-148.
    • (1983) J. Differential Geom , vol.18 , pp. 1-148
    • Gromov, M.1
  • 9
    • 0001232465 scopus 로고
    • Some inverse spectral results for negatively curved 2-manifolds
    • V. Guillemin & D. Kazhdan, Some inverse spectral results for negatively curved 2-manifolds, Topology 19 (1980) 301-312.
    • (1980) Topology , vol.19 , pp. 301-312
    • Guillemin, V.1    Kazhdan, D.2
  • 10
    • 0009843232 scopus 로고
    • On the variety of manifolds without conjugate points
    • R. Gulliver, On the variety of manifolds without conjugate points, Trans. Amer. Math. Soc. 210 (1975) 185-201.
    • (1975) Trans. Amer. Math. Soc , vol.210 , pp. 185-201
    • Gulliver, R.1
  • 11
    • 0002049728 scopus 로고
    • Closed surfaces without conjugate points
    • E. Hopf, Closed surfaces without conjugate points, Proc. Nat. Acad. Sci. U.S.A. 34 (1948) 47-51.
    • (1948) Proc. Nat. Acad. Sci. U.S.A. , vol.34 , pp. 47-51
    • Hopf, E.1
  • 12
    • 0013520635 scopus 로고
    • Riemannian manifolds with geodesic flow of Anosov type
    • W. Klingenberg, Riemannian manifolds with geodesic flow of Anosov type, Ann. of Math. 99 (1974) 1-13.
    • (1974) Ann. of Math , vol.99 , pp. 1-13
    • Klingenberg, W.1
  • 13
    • 0009981270 scopus 로고
    • Sur la rigidité imposee par la longuer des géodesiques
    • R. Michel, Sur la rigidité imposee par la longuer des géodesiques, Invent. Math. 65 (1973) 71-84.
    • (1973) Invent. Math , vol.65 , pp. 71-84
    • Michel, R.1
  • 14
    • 51249173868 scopus 로고
    • Sur les longuer des géodesiques d,’une métrique a courbure négative dans le disque
    • J.-P. Otal, Sur les longuer des géodesiques d,’une métrique a courbure négative dans le disque, Comm. Math. Helv. 65 (1990) 334-347.
    • (1990) Comm. Math. Helv , vol.65 , pp. 334-347
    • Otal, J.-P.1
  • 15
    • 0013501592 scopus 로고
    • Integral geometry of tensor fields on a man-ifold of negative curvature
    • L. N. Pestov & V. A. Sharafutdinov, Integral geometry of tensor fields on a man-ifold of negative curvature, Siberian Math. J. 29 (1988) 427-441.
    • (1988) Siberian Math. J , vol.29 , pp. 427-441
    • Pestov, L.N.1    Sharafutdinov, V.A.2
  • 16
    • 0040804570 scopus 로고
    • Integral geometry of a tensor field on a manifold whose curvature is bounded above
    • V. A. Sharafutdinov, Integral geometry of a tensor field on a manifold whose curvature is bounded above, Siberian Math. J. 33 (1992) 524-533.
    • (1992) Siberian Math. J , vol.33 , pp. 524-533
    • Sharafutdinov, V.A.1
  • 18
    • 0013502398 scopus 로고
    • Finiteness theorem for the ray transform on a Riemannian manifold
    • V. A. Sharafutdinov, Finiteness theorem for the ray transform on a Riemannian manifold, Inverse Probl. 11 (1995) 1039-1050.
    • (1995) Inverse Probl , vol.11 , pp. 1039-1050
    • Sharafutdinov, V.A.1
  • 19
    • 0032219315 scopus 로고    scopus 로고
    • Rigidity for metrics with the same lengths of geodesics
    • P. Stefanov & G. Uhlmann, Rigidity for metrics with the same lengths of geodesics, Math. Res. Lett. 5 (1998) 83-96.
    • (1998) Math. Res. Lett , vol.5 , pp. 83-96
    • Stefanov, P.1    Uhlmann, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.