메뉴 건너뛰기




Volumn 52, Issue 3, 2000, Pages 331-348

Some semi-riemannian volume comparison theorems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034343768     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178207817     Document Type: Article
Times cited : (23)

References (23)
  • 1
    • 0040309430 scopus 로고
    • Uniqueness of complete spacelike hypersurfaces of constant mean curvature in Generalized Robertson-Walker spacetimes
    • L. J. Alías, A. Romero and M. Sánchez, Uniqueness of complete spacelike hypersurfaces of constant mean curvature in Generalized Robertson-Walker spacetimes, Gen. Relativity Gravitation 27 (1995), 71-84.
    • (1995) Gen. Relativity Gravitation , vol.27 , pp. 71-84
    • Alías, L.J.1    Romero, A.2    Sánchez, M.3
  • 2
    • 0031285636 scopus 로고    scopus 로고
    • Spacelike hypersurfaces of constant mean curvature and Calabi-Bemstein type problems
    • L. J. Alias, A. Romero and M. Sánchez, Spacelike hypersurfaces of constant mean curvature and Calabi-Bemstein type problems, Tohôku Math. J. 49 (1997), 337-345.
    • (1997) Tohôku Math. J , vol.49 , pp. 337-345
    • Alias, L.J.1    Romero, A.2    Sánchez, M.3
  • 3
    • 0002032399 scopus 로고    scopus 로고
    • Comparison and rigidity theorems in semi-Riemannian geometry
    • L. Andersson and R. Howard, Comparison and rigidity theorems in semi-Riemannian geometry, Comm. Anal. Geom. 6 (1998), 819-877.
    • (1998) Comm. Anal. Geom , vol.6 , pp. 819-877
    • Andersson, L.1    Howard, R.2
  • 4
    • 0001680390 scopus 로고
    • Formule de Gauss-Bonnet-Chem en métrique de signature quelconque
    • A. Avez, Formule de Gauss-Bonnet-Chem en métrique de signature quelconque, C. R. Acad. Sei. Paris 255 (1962), 2049-2051.
    • (1962) C. R. Acad. Sei. Paris , vol.255 , pp. 2049-2051
    • Avez, A.1
  • 5
    • 0004271685 scopus 로고    scopus 로고
    • Global Lorentzian Geometry, Second Edition, Monogr
    • Marcel Dekker Inc., New York
    • J. K. Beem, P. E. Ehrlich and K. L. Easley, Global Lorentzian Geometry, Second Edition, Monogr, Textbooks Pure Appl. Math. 202, Marcel Dekker Inc., New York, 1996.
    • (1996) Textbooks Pure Appl. Math , vol.202
    • Beem, J.K.1    Ehrlich, P.E.2    Easley, K.L.3
  • 6
    • 0004058055 scopus 로고
    • Springer Verlag, Berlin, Heidelberg
    • A. Besse, Einstein manifolds, Springer Verlag, Berlin, Heidelberg, 1987.
    • (1987) Einstein Manifolds
    • Besse, A.1
  • 7
    • 0000857099 scopus 로고
    • A relation between volume, mean curvature and diameter
    • R. L. Bishop, A relation between volume, mean curvature and diameter, Notices Amer. Math. Soc. 10 (1963), 364.
    • (1963) Notices Amer. Math. Soc , vol.10 , pp. 364
    • Bishop, R.L.1
  • 9
    • 0004112521 scopus 로고
    • Riemannian Geometry—A Modem Introduction
    • Cambridge Univ. Press, Cambridge
    • I. Chavel, Riemannian Geometry—A Modem Introduction, Cambridge Tracts in Math. 108, Cambridge Univ. Press, Cambridge, 1993.
    • (1993) Cambridge Tracts in Math , vol.108
    • Chavel, I.1
  • 10
    • 51249180953 scopus 로고
    • On the boundedness of Ricci curvature in an indefinite metric
    • M. Dajczer and K. Nomizu, On the boundedness of Ricci curvature in an indefinite metric, Bol. Soc. Brazil. Mat. 11 (1980), 25-30.
    • (1980) Bol. Soc. Brazil. Mat , vol.11 , pp. 25-30
    • Dajczer, M.1    Nomizu, K.2
  • 11
    • 0001776694 scopus 로고    scopus 로고
    • Volume comparison theorems for Lorentzian manifolds
    • P. E. Ehrlich, Y. T. Jung and S. B. Kim, Volume comparison theorems for Lorentzian manifolds, Geom. Dedicata 73 (1998), 39-56.
    • (1998) Geom. Dedicata , vol.73 , pp. 39-56
    • Ehrlich, P.E.1    Jung, Y.T.2    Kim, S.B.3
  • 13
    • 34047263340 scopus 로고
    • Domain of dependence
    • R. Geroch, Domain of dependence, J. Math. Phys. 11 (1970), 437-449.
    • (1970) J. Math. Phys , vol.11 , pp. 437-449
    • Geroch, R.1
  • 14
    • 0038495726 scopus 로고
    • Structures métriques pour les variétés riemanniennes, rédigé par J. Lafontaine et P. Pansu
    • Cedic-Nathan, Paris
    • M. Gromov, Structures métriques pour les variétés riemanniennes, rédigé par J. Lafontaine et P. Pansu, Textes Mathématiques 1, Cedic-Nathan, Paris, 1981.
    • (1981) Textes Mathématiques , vol.1
    • Gromov, M.1
  • 15
    • 0002148156 scopus 로고
    • Einige Sätze über das Volumenelement eines Riemannschen Raumes
    • P. Günther, Einige Sätze über das Volumenelement eines Riemannschen Raumes, Publ. Math. Deberecen 7 (1960), 78-93.
    • (1960) Publ. Math. Deberecen , vol.7 , pp. 78-93
    • Günther, P.1
  • 16
    • 51249184974 scopus 로고
    • The values of sectional curvature in indefinite metrics
    • R. Kulkarni, The values of sectional curvature in indefinite metrics, Comment. Math. Helv. 54 (1979), 173-176.
    • (1979) Comment. Math. Helv , vol.54 , pp. 173-176
    • Kulkarni, R.1
  • 17
    • 0003311802 scopus 로고
    • Semi-Riemannian geometry with applications to Relativity
    • Academic Press, Inc., New York-London
    • B. O’Neill, Semi-Riemannian geometry with applications to Relativity, Pure Appl. Math. 103, Academic Press, Inc., New York-London, 1983.
    • (1983) Pure Appl. Math , vol.103
    • O’Neill, B.1
  • 18
    • 0031208920 scopus 로고    scopus 로고
    • Geodesic connectedness in Generalized Reissner-Nordström type Lorentz manifolds
    • M. SÁNCHEZ, Geodesic connectedness in Generalized Reissner-Nordström type Lorentz manifolds, Gen. Relativity Gravitation 29 (1997), 1023-1037.
    • (1997) Gen. Relativity Gravitation , vol.29 , pp. 1023-1037
    • Sánchez, M.1
  • 19
    • 0032219717 scopus 로고    scopus 로고
    • On the geometry of generalized Robertson-Walker spacetimes: Geodesics, Gen
    • M. Sánchez, On the geometry of generalized Robertson-Walker spacetimes: geodesics, Gen. Relativity Gravitation 30 (1998), 915-932.
    • (1998) Relativity Gravitation , vol.30 , pp. 915-932
    • Sánchez, M.1
  • 20
    • 0033177192 scopus 로고    scopus 로고
    • On the geometry of generalized Robertson-Walker spacetimes: Curvature and Killing fields
    • M. Sánchez, On the geometry of generalized Robertson-Walker spacetimes: curvature and Killing fields, J. Geom. Phys. 31 (1999), 1-15.
    • (1999) J. Geom. Phys , vol.31 , pp. 1-15
    • Sánchez, M.1
  • 21
    • 84944294502 scopus 로고
    • Global connectivity by time-like geodesics
    • H. J. Seifert, Global connectivity by time-like geodesics, Z. Natureforsch. 22a (1967), 1356-1360.
    • (1967) Z. Natureforsch. , vol.22a , pp. 1356-1360
    • Seifert, H.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.