Maps of manifolds with indefinite metrics preserving certain geometrical entities

R. S. Kulkarni

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-4

Abstract:

It is shown that (i) a diffeomorphism of manifolds with indefinite metrics preserving degenerate r -plane sections is conformal, (ii) a sectional curvature-preservlng diffeomorphism of manifolds with indefinite metrics of dimension ≥ 4 is generically an isometry.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:280123

DOI: 10.1155/S0161171278000174

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