메뉴 건너뛰기




Volumn 243, Issue 3, 2003, Pages 461-470

On Smooth Cauchy Hypersurfaces and Geroch's Splitting Theorem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347569641     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0982-6     Document Type: Article
Times cited : (309)

References (22)
  • 3
    • 0002161392 scopus 로고
    • On determination of Cauchy surfaces from intrinsic properties
    • Budic, R., Isenberg, J., Lindblom, L., Lee, Yasskin, P.B.: On determination of Cauchy surfaces from intrinsic properties. Commun. Math. Phys. 61(1), 87-95 (1978)
    • (1978) Commun. Math. Phys. , vol.61 , Issue.1 , pp. 87-95
    • Budic, R.1    Isenberg, J.2    Lindblom, L.3    Lee4    Yasskin, P.B.5
  • 4
    • 0345912392 scopus 로고
    • Scalar time functions: Differentiability
    • Differential geometry and relativity, Dordrecht: Reidel
    • Budic, R., Sachs, R.K.: Scalar time functions: Differentiability. In: Differential geometry and relativity, Math. Phys. Appl. Math., Vol. 3, Dordrecht: Reidel, 1976, pp. 215-224
    • (1976) Math. Phys. Appl. Math. , vol.3 , pp. 215-224
    • Budic, R.1    Sachs, R.K.2
  • 5
    • 0345912395 scopus 로고
    • Volume functions in general relativity
    • Dieckmann, J.: Volume functions in general relativity. Gen. Relativity Gravitation 20(9), 859-867 (1988)
    • (1988) Gen. Relativity Gravitation , vol.20 , Issue.9 , pp. 859-867
    • Dieckmann, J.1
  • 6
    • 0000219272 scopus 로고
    • Cauchy surfaces in a globally hyperbolic space-time
    • Dieckmann, J.: Cauchy surfaces in a globally hyperbolic space-time. J. Math. Phys. 29(3), 578-579 (1988)
    • (1988) J. Math. Phys. , vol.29 , Issue.3 , pp. 578-579
    • Dieckmann, J.1
  • 7
    • 0001556478 scopus 로고
    • Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
    • Ecker, K., Huisken, G.: Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes. Commun. Math. Phys. 135(3), 595-613 (1991)
    • (1991) Commun. Math. Phys. , vol.135 , Issue.3 , pp. 595-613
    • Ecker, K.1    Huisken, G.2
  • 8
    • 0033242299 scopus 로고    scopus 로고
    • Quantization of massive vector fields in curved space-time
    • Furlani, E.P.: Quantization of massive vector fields in curved space-time. J. Math. Phys. 40(6), 2611-2626 (1999)
    • (1999) J. Math. Phys. , vol.40 , Issue.6 , pp. 2611-2626
    • Furlani, E.P.1
  • 9
    • 84972508317 scopus 로고
    • Some results on Cauchy surface criteria in Lorentzian geometry
    • Galloway, G.J.: Some results on Cauchy surface criteria in Lorentzian geometry. Illinois J. Math. 29(1), 1-10 (1985)
    • (1985) Illinois J. Math. , vol.29 , Issue.1 , pp. 1-10
    • Galloway, G.J.1
  • 10
    • 34047263340 scopus 로고
    • Domain of dependence
    • Geroch, R.: Domain of dependence. J. Math. Phys. 11, 437-449 (1970)
    • (1970) J. Math. Phys. , vol.11 , pp. 437-449
    • Geroch, R.1
  • 12
    • 0003291399 scopus 로고
    • The large scale structure of space-time
    • London-New York: Cambridge University Press
    • Hawking, S.W., Ellis, G.F.R.: The large scale structure of space-time. Cambridge Monographs on Mathematical Physics, No. 1., London-New York: Cambridge University Press, 1973
    • (1973) Cambridge Monographs on Mathematical Physics , vol.1
    • Hawking, S.W.1    Ellis, G.F.R.2
  • 13
    • 0003323305 scopus 로고
    • Variational methods in Lorentzian geometry
    • Harlow: Longman Sci. Tech.
    • Masiello, A.: Variational methods in Lorentzian geometry. Pitman Res. Notes Math. Ser. 309, Harlow: Longman Sci. Tech., 1994
    • (1994) Pitman Res. Notes Math. Ser. , vol.309
    • Masiello, A.1
  • 14
    • 0002279057 scopus 로고
    • The global structure of simple space-times
    • Newman, R.P.A.C.: The global structure of simple space-times. Commun. Math. Phys. 123(1), 17-52 (1989)
    • (1989) Commun. Math. Phys. , vol.123 , Issue.1 , pp. 17-52
    • Newman, R.P.A.C.1
  • 15
    • 84968512977 scopus 로고
    • The existence of complete Riemannian metrics
    • K. Nomizu, H. Ozeki, The existence of complete Riemannian metrics Proc. Am. Math. Soc. 12, 889-891 (1961)
    • (1961) Proc. Am. Math. Soc. , vol.12 , pp. 889-891
    • Nomizu, K.1    Ozeki, H.2
  • 18
    • 0010071553 scopus 로고
    • General relativity and cosmology
    • Sachs, R.K., Wu, H.: General relativity and cosmology. Bull. Am. Math. Soc. 83(6), 1101-1164 (1977)
    • (1977) Bull. Am. Math. Soc. , vol.83 , Issue.6 , pp. 1101-1164
    • Sachs, R.K.1    Wu, H.2
  • 19
    • 0010182338 scopus 로고
    • Smoothing and extending cosmic time functions
    • Seifert, H.-J.: Smoothing and extending cosmic time functions. Gen. Relativity Gravitation 8(10), 815-831 (1977)
    • (1977) Gen. Relativity Gravitation , vol.8 , Issue.10 , pp. 815-831
    • Seifert, H.-J.1
  • 21
    • 0001923368 scopus 로고
    • A Morse theory for geodesics on a Lorentz manifold
    • Uhlenbeck, K.: A Morse theory for geodesics on a Lorentz manifold. Topology 14, 69-90 (1975)
    • (1975) Topology , vol.14 , pp. 69-90
    • Uhlenbeck, K.1
  • 22
    • 0004057466 scopus 로고
    • Chicago, IL: Univ. Chicago Press
    • Wald, R.M.: General Relativity. Chicago, IL: Univ. Chicago Press, 1984
    • (1984) General Relativity
    • Wald, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.