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On extremal semi-Riemannian submanifolds

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Abstract

Variation of the volume of semi-Riemannian submanifolds is studied. A possible error in the second variational formula in [4] is corrected and it is shown that a semi-Riemannian submanifold cannot be extremal unless it is both definite and codefinite.

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Correspondence to Demir N. Kupeli.

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Kupeli, D.N. On extremal semi-Riemannian submanifolds. Rend. Circ. Mat. Palermo 45, 211–232 (1996). https://doi.org/10.1007/BF02844487

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  • DOI: https://doi.org/10.1007/BF02844487

1991 Mathematics Subject Classification

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