On Weakly W 3 -Symmetric Manifolds

Shyamal Kumar Hui

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2011)

  • Volume: 50, Issue: 1, page 53-71
  • ISSN: 0231-9721

Abstract

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The object of the present paper is to study weakly W 3 -symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly W 3 -symmetric manifold both the decompositions are weakly Ricci symmetric.

How to cite

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Hui, Shyamal Kumar. "On Weakly $W_3$-Symmetric Manifolds." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 50.1 (2011): 53-71. <http://eudml.org/doc/196684>.

@article{Hui2011,
abstract = {The object of the present paper is to study weakly $W_3$-symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly $W_3$-symmetric manifold both the decompositions are weakly Ricci symmetric.},
author = {Hui, Shyamal Kumar},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {weakly $W_3$-symmetric manifold; $W_3$-curvature tensor; decomposable manifold; scalar curvature; totally umbilical hypersurfaces; totally geodesic; mean curvature; weakly -symmetric manifold; -curvature tensor; decomposable manifold; scalar curvature; totally umbilical hypersurfaces; totally geodesic; mean curvature},
language = {eng},
number = {1},
pages = {53-71},
publisher = {Palacký University Olomouc},
title = {On Weakly $W_3$-Symmetric Manifolds},
url = {http://eudml.org/doc/196684},
volume = {50},
year = {2011},
}

TY - JOUR
AU - Hui, Shyamal Kumar
TI - On Weakly $W_3$-Symmetric Manifolds
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2011
PB - Palacký University Olomouc
VL - 50
IS - 1
SP - 53
EP - 71
AB - The object of the present paper is to study weakly $W_3$-symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly $W_3$-symmetric manifold both the decompositions are weakly Ricci symmetric.
LA - eng
KW - weakly $W_3$-symmetric manifold; $W_3$-curvature tensor; decomposable manifold; scalar curvature; totally umbilical hypersurfaces; totally geodesic; mean curvature; weakly -symmetric manifold; -curvature tensor; decomposable manifold; scalar curvature; totally umbilical hypersurfaces; totally geodesic; mean curvature
UR - http://eudml.org/doc/196684
ER -

References

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