Submanifolds ofF-structure manifold satisfyingFK+(−)K+1F=0
2001 ◽
Vol 26
(3)
◽
pp. 167-172
Keyword(s):
The purpose of this paper is to study invariant submanifolds of ann-dimensional manifoldMendowed with anF-structure satisfyingFK+(−)K+1F=0andFW+(−)W+1F≠0for1<W<K, whereKis a fixed positive integer greater than2. The case whenKis odd(≥3)has been considered in this paper. We show that an invariant submanifoldM˜, embedded in anF-structure manifoldMin such a way that the complementary distributionDmis never tangential to the invariant submanifoldψ(M˜), is an almost complex manifold with the inducedF˜-structure. Some theorems regarding the integrability conditions of inducedF˜-structure are proved.
2017 ◽
Vol 19
(04)
◽
pp. 1750043
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Keyword(s):
2019 ◽
Vol 109
(2)
◽
pp. 270-288
2001 ◽
Vol 44
(1)
◽
pp. 70-79
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2019 ◽
Vol 62
◽
pp. 101-108
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2013 ◽
Vol 24
(12)
◽
pp. 1350097
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Keyword(s):