On invariant submanifolds of paracompact (k;m)-spaces
2021 ◽
Vol 13(62)
(2)
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pp. 545-560
Keyword(s):
The object of the present paper is to deduce some necessary and sufficient conditions for invariant Submanifolds of paracontact (κ, µ)-spaces to be totally geodesic. We also establish that a totally umbilical invariant submanifold of a paracontact (κ, µ)-manifold is also totally geodesic. Some more necessary and sufficient conditions for a submanifold of a paracontact (κ, µ)-manifold to be totally geodesic have been deduced using parallelity and pseudo parallelity of the second fundamental form. In the last section we obtain some results on paracontact (κ, µ)-manifold with concircular canonical field.
2017 ◽
Vol 14
(12)
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pp. 1750171
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2018 ◽
Vol 15
(09)
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pp. 1850149
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1990 ◽
Vol 114
(1-2)
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pp. 39-55
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2011 ◽
Vol 08
(07)
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pp. 1439-1454
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2015 ◽
Vol 26
(12)
◽
pp. 1550099
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2012 ◽
Vol 20
(1)
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pp. 41-54
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