Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 39, No. 1, pp. 155-167 (1998)

Contact Homogeneity and Envelopes of Riemannian Metrics

Oldrich Kowalski; Stana Z. Nikcevic

Faculty of Mathematics and Physics, Charles University
Sokolovska 83, 186 00 Praha 8, Czech Republic
e-mail: kowalski@karlin.mff.cuni.cz

Mathematical Institute, SANU
Knez Mihailova 35, p.p.367, 11 000 Beograd, Yugoslavia

e-mail: enikcevi@ubbg.etf.bg.ac.yu

Abstract: We study contact of higher order of Riemannian manifolds (or metrics). The main results concern "contact homogeneous Riemannian manifolds" (of arbitrary order) and envelopes of Riemannian metrics (of the first and second order).

Keywords: Riemannian manifold, contact of Riemannian metrics, envelopes of Riemannian metrics, curvature homogeneous space, semi-symmetric space

Classification (MSC91): 53C20, 53C30, 53C35, 53B20.

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