Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations
Keyword(s):
In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented. Some characterizations of the base NT of Mn are offered as applications. We also look at whether the base NT is isometric to the Euclidean space Rp or the Euclidean sphere Sp, subject to some constraints on the second fundamental form and warping function.
2020 ◽
Vol ahead-of-print
(ahead-of-print)
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2015 ◽
Vol 26
(12)
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pp. 1550099
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2008 ◽
Vol 77
(1)
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pp. 99-114
2019 ◽
Vol 16
(05)
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pp. 1950072
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1994 ◽
Vol 17
(3)
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pp. 613-616