Special proper pointwise slant surfaces of a locally product Riemannian manifold

Authors: MEHMET GÜLBAHAR, EROL KILIÇ, SEMRA SARAÇOĞLU ÇELİK

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

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