Second-Order Parallel Tensors on 𝒮-Manifolds and Semiparallel Hypersurfaces of 𝒮-Space Forms

Second-Order Parallel Tensors on 𝒮-Manifolds and Semiparallel Hypersurfaces of 𝒮-Space Forms

We study a second-order parallel symmetric tensor in an 𝒮-manifold and show that there is no semiparallel hypersurface in the 𝒮-space forms M ˜ 2 n + s c 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 US 01-03-2020
Subjects:
Algebra
Analysis
Applications of Mathematics
Brief Communications
Geometry
Mathematics
Mathematics and Statistics
Statistics
Online Access:Get full text
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Description
Summary:We study a second-order parallel symmetric tensor in an 𝒮-manifold and show that there is no semiparallel hypersurface in the 𝒮-space forms M ˜ 2 n + s c with c ≠ s.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-020-01735-8