Special proper pointwise slant surfaces of a locally product Riemannian manifold | Zendy

Mehmet Gülbahar | Zendy; Erol Kılıç | Zendy; Semra SARAÇOĞLU ÇELİK | Zendy

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Special proper pointwise slant surfaces of a locally product Riemannian manifold

Author(s) -

Mehmet Gülbahar,

Erol Kılıç,

Semra SARAÇOĞLU ÇELİK

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1412-44

Subject(s) - pointwise , mathematics , product (mathematics) , riemannian manifold , manifold (fluid mechanics) , pure mathematics , curvature , mathematical analysis , mean curvature , geometry , mechanical engineering , engineering

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.

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