EMIS ELibM Electronic Journals
Vol. 37(51), pp. 107--112 (1985)

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On the focal locus of a submanifold in a Riemannian manifold of constant sectional curvature

Hukim Singh

Department of Geometry, Technical University of Budapest, Hungary

Abstract: We discuss the focal locus of a submanifold in a Riemannian manifold of constant sectional curvature. Focal points of submanifolds in Riemannian manifolds have been studied already in [1,4,7] and [8]. We consider the location of focal points along a geodesic, and we also obtain conditions under which the focal locus is a submanifold of given dimension.

Classification (MSC2000): 53B21; 53C40

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition