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arXiv · 2306.04982

New insights on slant submanifolds

Adara M. Blaga
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Abstract

We provide the necessary and sufficient condition for a pointwise slant submanifold with respect to two anti-commuting almost Hermitian structures to be also pointwise slant with respect to a family of almost Hermitian structures generated by them. On the other hand, we show that the property of being pointwise slant is transitive on a class of proper pointwise slant immersed submanifolds of almost Hermitian manifolds. We illustrate the results with suitable examples.

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Adara M. Blaga. 2023-06-08. New insights on slant submanifolds. https://doi.org/10.1007/s13348-024-00432-0

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