Abstract
In this paper, we first prove that the nonexistence of the maximal spacelike submanifolds with positive sectional curvture in the pseudo-Riemannian space form of negative sectional curvature, then give a condition under which the submanifolds are totally geodesic.
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I would like to thank prof. K. Ogiue for his advice and to thank also the referee for valuable suggestions.
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Sun, H. On maximal spacelike submanifolds. J Geom 65, 193–199 (1999). https://doi.org/10.1007/BF01228689
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DOI: https://doi.org/10.1007/BF01228689