This article is cited in 2 papers

Degenerate Riemannian metrics

I. V. Bel'ko

Belarusian State University

Abstract: We give a criterion for the existence of a degenerate Riemannian metric on a paracompact $C^\infty$ manifold. We give a criterion for the existence of a corresponding connection without torsion on manifolds with degenerate Riemannian metrics.

UDC: 513.7

Received: 24.12.1974

 English version: Mathematical Notes, 1975, 18:5, 1046–1049

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