Second-Order Parallel Tensors on ð'®-Manifolds and Semiparallel Hypersurfaces of ð'®-Space Forms

Second-Order Parallel Tensors on ð'®-Manifolds and Semiparallel Hypersurfaces of ð'®-Space Forms

We study a second-order parallel symmetric tensor in an ð'®-manifold and show that there is no semiparallel hypersurface in the ð'®-space forms M˜2n+sc with c ≠ s.

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Bibliographic Details
Published in:Ukrainian mathematical journal Vol. 71; no. 10; pp. 1627 - 1635
Main Authors: Belkhelfa, M, Mahi, F
Format: Journal Article
Language:English
Published: New York Springer Nature B.V 01-01-2020
Subjects:
Hyperspaces
Manifolds
Mathematical analysis
Tensors
Online Access:Get full text
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Description
Summary:We study a second-order parallel symmetric tensor in an ð'®-manifold and show that there is no semiparallel hypersurface in the ð'®-space forms M˜2n+sc with c ≠ s.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-020-01735-8