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  • GEODESIC CONNECTEDNESS  (2)
  • 53C22  (1)
  • yeast genome
  • Springer  (3)
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Keywords
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  • 1
    Electronic Resource
    Electronic Resource
    On completeness of certain families of semi-Riemannian manifolds (1994)
    Springer
    Geometriae dedicata 53 (1994), S. 103-117 
    Details
    ISSN: 1572-9168
    Keywords: 53C22 ; 53C50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Semi-Riemannian manifolds with a suitable set of conformal symmetries are shown to be complete. Locally warped products are studied and warped-completeness is introduced. In the case of definite and complete basis, several assumptions on the growth of the warping function yield some of the three kinds of completeness. The case of 1-dimensional basis (including a known family of relativistic space-times) is specially studied. Null warped-completeness is related to the completeness of a certain conformal metric on the basis. Several examples and counter-examples explaining the main results are also given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01264047
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  • 2
    Electronic Resource
    Electronic Resource
    Geodesic Connectedness in Generalized Reissner-Nordström Type Lorentz Manifolds (1997)
    Springer
    General relativity and gravitation 29 (1997), S. 1023-1037 
    Details
    ISSN: 1572-9532
    Keywords: LORENTZ METRICS ; GEODESIC CONNECTEDNESS ; REISSNER-NORDSTRÖM SPACETIME ; CAUSALITY
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A detailed study of the existence, causal character and multiplicity of geodesics joining two points is carried out for a wide family of non-static Lorentz manifolds (including intermediate Reissner-Nordström, inner Schwarzschild and Generalized Robertson-Walker spacetimes). Results relating causality and connectedness by timelike or lightlike geodesics are obtained, in the spirit of the well-known Avez-Seifert result. The existence of closed spacelike geodesics is also characterized.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018824709846
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  • 3
    Electronic Resource
    Electronic Resource
    On the Geometry of Generalized Robertson-Walker Spacetimes: Geodesics (1998)
    Springer
    General relativity and gravitation 30 (1998), S. 915-932 
    Details
    ISSN: 1572-9532
    Keywords: GENERALIZED ROBERTSON-WALKER SPACETIME ; GEODESIC CONNECTEDNESS ; GEODESIC COMPLETENESS ; STABILITY OF COMPLETENESS
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The geometry and, especially, the geodesics of a class of spacetimes generalizing Robertson-Walker ones (without any assumption on the fiber) is studied, under a global point of view. Our study covers geodesic connectedness, geodesic completeness and stability of completeness.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026664209847
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