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New insights on slant submanifolds

Differential Geometry 2025-08-04 v2

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.

Keywords

Cite

@article{arxiv.2306.04982,
  title  = {New insights on slant submanifolds},
  author = {Adara M. Blaga},
  journal= {arXiv preprint arXiv:2306.04982},
  year   = {2025}
}

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16 pages