Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1412-44
Keywords
Almost product Riemannian manifold, special slant surface, curvature
First Page
884
Last Page
899
Recommended Citation
GÜLBAHAR, M, KILIÇ, E, & ÇELİK, S. S (2015). Special proper pointwise slant surfaces of a locally product Riemannian manifold. Turkish Journal of Mathematics 39 (6): 884-899. https://doi.org/10.3906/mat-1412-44