Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
ABSTRACT In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invarian...
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2019
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oai:scielo:S0719-064620190002000412019-10-11Totally umbilical proper slant submanifolds of para-Kenmotsu manifoldSiddesha,M.S.Bagewadi,C.S.Nirmala,D. para-Kenmotsu manifold totally umbilical slant submanifold ABSTRACT In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invariant normal subbundle.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.2 20192019-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200041en10.4067/S0719-06462019000200041 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
para-Kenmotsu manifold totally umbilical slant submanifold |
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para-Kenmotsu manifold totally umbilical slant submanifold Siddesha,M.S. Bagewadi,C.S. Nirmala,D. Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
description |
ABSTRACT In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invariant normal subbundle. |
author |
Siddesha,M.S. Bagewadi,C.S. Nirmala,D. |
author_facet |
Siddesha,M.S. Bagewadi,C.S. Nirmala,D. |
author_sort |
Siddesha,M.S. |
title |
Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
title_short |
Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
title_full |
Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
title_fullStr |
Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
title_full_unstemmed |
Totally umbilical proper slant submanifolds of para-Kenmotsu manifold |
title_sort |
totally umbilical proper slant submanifolds of para-kenmotsu manifold |
publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
publishDate |
2019 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200041 |
work_keys_str_mv |
AT siddeshams totallyumbilicalproperslantsubmanifoldsofparakenmotsumanifold AT bagewadics totallyumbilicalproperslantsubmanifoldsofparakenmotsumanifold AT nirmalad totallyumbilicalproperslantsubmanifoldsofparakenmotsumanifold |
_version_ |
1714206803027296256 |