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On the v-semi-slant submersions from almost Hermitian manifolds

박광순
대한수학회 (The Korean Mathematical Society)|2021.01|대한수학회논문집 (Communications of the KMS)|제36권 제1호|pp. 173-187|DOI 10.4134/CKMS.c200151

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참고문헌

키워드

Riemannian submersiontotally geodesicslant angle
주제분류수학

초록

In this paper, we deal with the notion of a v-semi-slant submersion from an almost Hermitian manifold onto a Riemannian manifold. We investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. Given such a map with totally umbilical fibers, we have a condition for the fibers of the map to be minimal. We also obtain an inequality of a proper v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and a v-semi-slant angle. Moreover, we give some examples of such maps and some open problems.

Abstract

In this paper, we deal with the notion of a v-semi-slant submersion from an almost Hermitian manifold onto a Riemannian manifold. We investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. Given such a map with totally umbilical fibers, we have a condition for the fibers of the map to be minimal. We also obtain an inequality of a proper v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and a v-semi-slant angle. Moreover, we give some examples of such maps and some open problems.

참고문헌 (26)

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