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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Autores principales: Siddesha,M.S., Bagewadi,C.S., Nirmala,D.
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200041
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spelling 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
spellingShingle 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
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