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Volumn 137, Issue 2, 2004, Pages 363-375

Lorentzian manifolds with no null conjugate points

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EID: 4744372019     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004104007674     Document Type: Conference Paper
Times cited : (13)

References (26)
  • 1
    • 18344416180 scopus 로고    scopus 로고
    • Spacelike hypersurfaces of constant mean curvature in certain spacetimes
    • L. J. ALÍAS, A. ROMERO and M. SÁNCHEZ. Spacelike hypersurfaces of constant mean curvature in certain spacetimes. Nonlinear Anal. 30 (1997), 655-661.
    • (1997) Nonlinear Anal. , vol.30 , pp. 655-661
    • Alías, L.J.1    Romero, A.2    Sánchez, M.3
  • 2
    • 0031285636 scopus 로고    scopus 로고
    • Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems
    • L. J. ALÍAS, A. ROMERO and M. SÁNCHEZ. Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems. Tôhoku Math. J. 49 (1997), 337-345.
    • (1997) Tôhoku Math. J. , vol.49 , pp. 337-345
    • Alías, L.J.1    Romero, A.2    Sánchez, M.3
  • 4
    • 0039020528 scopus 로고
    • The Gauss-Bonnet theorem for two-dimensional spacetimes
    • G. BIRMAN and K. NOMIZU. The Gauss-Bonnet theorem for two-dimensional spacetimes. Michigan Math. J. 31 (1984), 77-81.
    • (1984) Michigan Math. J. , vol.31 , pp. 77-81
    • Birman, G.1    Nomizu, K.2
  • 5
    • 0001916049 scopus 로고
    • Relativistic space forms
    • E. CALABI and L. MARKUS. Relativistic space forms. Ann. of Math. 75 (1962), 63-76.
    • (1962) Ann. of Math. , vol.75 , pp. 63-76
    • Calabi, E.1    Markus, L.2
  • 7
    • 0005139356 scopus 로고
    • From the Riccati inequality to the Raychaudhuri equation
    • P. E. EHRLICH and S.-B. KIM. From the Riccati inequality to the Raychaudhuri equation. Contemp. Math. 170 (1994), 65-78.
    • (1994) Contemp. Math. , vol.170 , pp. 65-78
    • Ehrlich, P.E.1    Kim, S.-B.2
  • 8
    • 0000199868 scopus 로고    scopus 로고
    • Geodesic connectedness and conjugate points in GRW spacetimes
    • J. L. FLORES and M. SÁNCHEZ. Geodesic connectedness and conjugate points in GRW spacetimes. J. Geom. Phys. 30 (2000), 285-314.
    • (2000) J. Geom. Phys. , vol.30 , pp. 285-314
    • Flores, J.L.1    Sánchez, M.2
  • 9
    • 0001866435 scopus 로고
    • A theorem of E. Hopf
    • L. W. GREEN. A theorem of E. Hopf. Michigan Math. J. 5 (1958), 31-34.
    • (1958) Michigan Math. J. , vol.5 , pp. 31-34
    • Green, L.W.1
  • 10
    • 84972492388 scopus 로고
    • The integral of the scalar curvature of complete manifolds without conjugate points
    • F. GUIMARAES. The integral of the scalar curvature of complete manifolds without conjugate points. J. Differential Geom. 36 (1992), 651-662.
    • (1992) J. Differential Geom. , vol.36 , pp. 651-662
    • Guimaraes, F.1
  • 11
    • 0036829689 scopus 로고    scopus 로고
    • A Berger-Green type inequality for compact Lorentzian manifolds
    • Erratum 355 (2003), 5119-5120
    • M. GUTIÉRREZ, F. J. PALOMO and A. ROMERO. A Berger-Green type inequality for compact Lorentzian manifolds. Trans. Amer. Math. Soc. 354 (2002), 4505-4523. (Erratum 355 (2003), 5119-5120.)
    • (2002) Trans. Amer. Math. Soc. , vol.354 , pp. 4505-4523
    • Gutiérrez, M.1    Palomo, F.J.2    Romero, A.3
  • 12
    • 0001056575 scopus 로고
    • A characterization of Robertson-Walker spaces by null sectional curvature
    • S. G. HARRIS. A characterization of Robertson-Walker spaces by null sectional curvature. Gen. Relativity Gravitation 17 (1985), 493-498.
    • (1985) Gen. Relativity Gravitation , vol.17 , pp. 493-498
    • Harris, S.G.1
  • 13
    • 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
  • 14
    • 84972545070 scopus 로고
    • Completeness of Lorentz manifolds of constant curvature admitting Killing vector fields
    • Y. KAMISHIMA. Completeness of Lorentz manifolds of constant curvature admitting Killing vector fields. J. Differential Geom. 37 (1993), 569-601.
    • (1993) J. Differential Geom. , vol.37 , pp. 569-601
    • Kamishima, Y.1
  • 15
    • 0030510687 scopus 로고    scopus 로고
    • Completude des varietes lorentziennes a courbure constante
    • B. KLINGER. Completude des varietes lorentziennes a courbure constante. Math. Ann. 306 (1996), 353-370.
    • (1996) Math. Ann. , vol.306 , pp. 353-370
    • Klinger, B.1
  • 16
    • 0001387318 scopus 로고
    • Infinitesimal null isotropy and Robertson-Walker metrics
    • L. KOCH-SEN. Infinitesimal null isotropy and Robertson-Walker metrics. J. Math. Phys. 26 (1985), 407-410.
    • (1985) J. Math. Phys. , vol.26 , pp. 407-410
    • Koch-Sen, L.1
  • 17
    • 84972514282 scopus 로고
    • 3-Dimensional Lorentz space-forms and Seifert fiber spaces
    • R. KULKARNI and F. RAYMOND. 3-dimensional Lorentz space-forms and Seifert fiber spaces. Differential Geom. 21 (1985), 231-268.
    • (1985) Differential Geom. , vol.21 , pp. 231-268
    • Kulkarni, R.1    Raymond, F.2
  • 19
    • 0035420252 scopus 로고    scopus 로고
    • The introduction of Bochner's technique on Lorentzian manifolds
    • A. ROMERO. The introduction of Bochner's technique on Lorentzian manifolds. Nonlinear Anal. TMA 47 (2001), 3047-3059.
    • (2001) Nonlinear Anal. TMA , vol.47 , pp. 3047-3059
    • Romero, A.1
  • 20
    • 0000063223 scopus 로고
    • Completeness of compact Lorentz manifolds admiting a timelike oonformal-Killing vector field
    • A. ROMERO and M. SÁNCHEZ. Completeness of compact Lorentz manifolds admiting a timelike oonformal-Killing vector field. Proc. Amer. Math. Soc. 123 (1995), 2831-2833.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 2831-2833
    • Romero, A.1    Sánchez, M.2
  • 21
    • 0000679153 scopus 로고    scopus 로고
    • An integral inequality on compact Lorentz manifolds and its applications
    • A. ROMERO and M. SÁNCHEZ. An integral inequality on compact Lorentz manifolds and its applications. Bull. London Math. Soc. 28 (1996), 509-513.
    • (1996) Bull. London Math. Soc. , vol.28 , pp. 509-513
    • Romero, A.1    Sánchez, M.2
  • 22
    • 0000905707 scopus 로고    scopus 로고
    • Bochner's technique on Lorentz manifolds and infinitesimal conformal symmetries
    • A. ROMERO and M. SÁNCHEZ. Bochner's technique on Lorentz manifolds and infinitesimal conformal symmetries. Pacific J. Math. 186 (1998), 141-148.
    • (1998) Pacific J. Math. , vol.186 , pp. 141-148
    • Romero, A.1    Sánchez, M.2
  • 23
    • 0346168999 scopus 로고    scopus 로고
    • Structure of Lorentzian tori with a killing vector field
    • M. SÁNCHEZ. Structure of Lorentzian tori with a Killing vector field. Trans. Amer. Math. Soc. 349 (1997), 1063-1080.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 1063-1080
    • Sánchez, M.1
  • 24
    • 0000872811 scopus 로고    scopus 로고
    • Lorentzian manifolds admitting a killing vector field
    • M. SÁNCHEZ. Lorentzian manifolds admitting a Killing vector field. Nonlinear Anal. 30 (1997), 643-654.
    • (1997) Nonlinear Anal. , vol.30 , pp. 643-654
    • Sánchez, M.1
  • 25
    • 0032219717 scopus 로고    scopus 로고
    • On the geometry of generalized Robertson-Walker spacetimes: Geodesies
    • M. SÁNCHEZ. On the geometry of generalized Robertson-Walker spacetimes: geodesies. Gen. Relativity Gravitation 30 (1998), 915-932.
    • (1998) Gen. Relativity Gravitation , vol.30 , pp. 915-932
    • Sánchez, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.