This article is cited in 1 paper

A local invariant of a Riemannian manifold

A. N. Tyurin


Abstract: In this paper we investigate the geometry of local invariants of a four-dimensional Riemannian manifold and prove that all irreducible components of the curvature tensor can be reconstructed from a local invariant up to proportionality.
Bibliography: 14 titles.

UDC: 513.6

MSC: 14D25, 14J10, 53B20

Received: 25.12.1980

 English version: Mathematics of the USSR-Izvestiya, 1982, 19:1, 125–149

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