Abstract
A geometric structure of manifolds with singular semi-Riemannian metrics is studied.
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References
Frankel, T. and Galloway, G. J., ‘Energy Density and Spatial Curvature in General Relativity’, Math. Phys. 22 (1981), 813–817.
Beem, J. K. and Ehrlich, P. E., ‘Geodesic Completeness of Submanifolds in Minkowski Spacetime’, Geom. Dedicata 18 (1985), 213–226.
Kupeli, D. N., ‘Curvature and Closed Trapped Surfaces in 4-Dimensional Spacetimes’ Gen. Rel. Grav., 19, No. 1 (1987) 23–41.
Kupeli, D. N., ‘On Null Submanifolds in Spacetimes’, Geom. Dedicata 23 (1987), 33–51.
O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.
Hoffman, K. and Kunze, R., Linear Algebra (2nd edn), Prentice-Hall, Englewood Cliffs, New Jersey, 1971.
Hawking, S. W., ‘The Analogy Between Black Hole Mechanics and Thermodynamics’, Ann. NY Acad. Sci. 224 (1973), 268–271.
Poor, W. A., Differential Geometric Structures, McGraw-Hill, New York, 1981.
Graves, L. and Nomizu, K., ‘On Sectional Curvature of Indefinite Metrics’, Math. Ann. 232 (1978), 267–272.
Dajczer, M. and Nomizu, K., ‘On Sectional Curvature of Indefinite Metrics, II’, Math. Ann. 247 (1980), 279–282.
Brocher, TH. and Janich, K., Introduction to Differential Topology, Cambridge Univ. Press, New York, 1982.
Hawking, S. W. and Ellis, G. F. R., The Large Scale Structure of Spacetime, Cambridge Univ. Press, New York, 1983.
Moncrief, V. and Isenberg, J., ‘Symmetries of Cosmological Gauchy Horizons’, Comm. Math. Phys. 89 (1983), 387–413.
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Kupeli, D.N. Degenerate manifolds. Geom Dedicata 23, 259–290 (1987). https://doi.org/10.1007/BF00181313
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DOI: https://doi.org/10.1007/BF00181313