Special proper pointwise slant surfaces of a locally product Riemannian manifold

Authors

MEHMET GÜLBAHAR
EROL KILIÇ
SEMRA SARAÇOĞLU ÇELİK

DOI

10.3906/mat-1412-44

Abstract

The structure of pointwise slant submanifolds in an almost product Riemannian manifold is investigated and the special proper pointwise slant surfaces of a locally product manifold are introduced. A relation involving the squared mean curvature and the Gauss curvature of pointwise slant surface of a locally product manifold is proved. Two examples of proper pointwise slant surfaces of a locally product manifold, one of which is special and the other one is not special, are given.

Keywords

Almost product Riemannian manifold, special slant surface, curvature

First Page

884

Last Page

899

Recommended Citation

GÜLBAHAR, MEHMET; KILIÇ, EROL; and ÇELİK, SEMRA SARAÇOĞLU (2015) "Special proper pointwise slant surfaces of a locally product Riemannian manifold," Turkish Journal of Mathematics: Vol. 39: No. 6, Article 9. https://doi.org/10.3906/mat-1412-44
Available at: https://journals.tubitak.gov.tr/math/vol39/iss6/9