Totally umbilicalCR-submanifolds of Semi-Riemannian Kaehler manifolds
1987 ◽
Vol 10
(3)
◽
pp. 551-555
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Keyword(s):
We study totally umbilicalCR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally real submanifold of the Kaehler manifold. For dimension equal to one, we show, in particular, that they are endowed with a normal contact metric structure if and only if the second fundamental form is parallel.
2019 ◽
Vol 16
(02)
◽
pp. 1950031
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1975 ◽
Vol 51
(1)
◽
pp. 5-6
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1984 ◽
Vol 36
(2)
◽
pp. 240-248
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Keyword(s):
2020 ◽
Vol ahead-of-print
(ahead-of-print)
◽
1989 ◽
Vol 40
(1)
◽
pp. 157-160
◽
2008 ◽
Vol 341
(1)
◽
pp. 170-187
◽
1998 ◽
Vol 40
(1)
◽
pp. 109-115
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Keyword(s):
1987 ◽
Vol 101
(1)
◽
pp. 127-127