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Zbl 0884.53047
Kupeli, Demir N.
On extremal semi-Riemannian submanifolds. (English)
[J] Rend. Circ. Mat. Palermo, II. Ser. 45, No.2, 211-232 (1996). ISSN 0009-725X; ISSN 1973-4409/e

The author establishes a formula on the second variation of the volume functional for a submanifold of a semi-Riemannian manifold. In particular, it is proved that a semi-Riemannian submanifold cannot be extremal, unless it is both definite and codefinite.
[A.Masiello (Bari)]
MSC 2000:
*53C42 Immersions (differential geometry)
53C50 Lorentz manifolds, manifolds with indefinite metrics

Keywords: second variation of the volume functional; submanifolds of pseudo-Riemannian manifolds

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