Pointwise Semi-Slant Submersions Whose Total Manifolds Are Locally Product Riemannian Manifolds

Authors

  • Cem Sayar
  • Fatma Ozdemir
  • Hakan Mete Tastan

Keywords:

riemannian submersion, first variational formula, pointwise semi-slant distribution, locally product Riemannian manifold

Abstract

In this paper, we study pointwise semi-slant submersions from locally product Riemannian manifolds onto Riemannian manifolds. We give example and necessary and sucient conditions for the integrability and totally geodesicness of all distributions which are mentioned in the denition of the pointwise semi-slant submersion. Moreover, we give a characterization theorem for the proper pointwise semi-slant submersions with totally umbilical bers and rst variational formula on the bers of a pointwise semi-slant submersion. In the view of that formula, nally we obtain necessary and sucient condition which is new approach to check the harmonicity of a pointwise semi-slant submersion.

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Published

2018-04-24

How to Cite

Sayar, C., Ozdemir, F., & Tastan, H. M. (2018). Pointwise Semi-Slant Submersions Whose Total Manifolds Are Locally Product Riemannian Manifolds. International Journal of Maps in Mathematics, 1(1), 91–115. Retrieved from https://simadp.com/journalmim/article/view/11

Issue

Vol. 1 No. 1 (2018): International Journal of Maps in Mathematics

Section

Articles

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