Theory of semisymmetric conformally flat and biharmonic submanifolds.
Defever, Filip (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Defever, Filip (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Viktor Schroeder (1989)
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Erol Kılıç, Mukut Mani Tripathi, Mehmet Gülbahar (2016)
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Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen-Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds...
Y. Choquet-Bruhat (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Labbi, Mohammed-Larbi (2007)
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Vladimir Rovenskiĭ (1998)
Annales Polonici Mathematici
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Submanifolds and foliations with restrictions on q-Ricci curvature are studied. In §1 we estimate the distance between two compact submanifolds in a space of positive q-Ricci curvature, and give applications to special classes of submanifolds and foliations: k-saddle, totally geodesic, with nonpositive extrinsic q-Ricci curvature. In §2 we generalize a lemma by T. Otsuki on asymptotic vectors of a bilinear form and then estimate from below the radius of an immersed submanifold in a simply...