Submanifolds of Riemannian Product Manifolds

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributions D, D\bot and mixed-geodesic property are studied. Finally, necessary and sufficient conditions are given on a semi-invariant submanifold of Riemannian product manifold to be D-geodesic and D\bot-geodesic.

Anahtar Kelimeler:

Riemannian Product Manifold, Real Space Form, Locally Riemannian Product and Curvature-Invariant Submanifold

Submanifolds of Riemannian Product Manifolds

Keywords:

Riemannian Product Manifold, Real Space Form, Locally Riemannian Product and Curvature-Invariant Submanifold,

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