On sectional curvatures of -Sasakian manifolds.
Kumar, Rakesh, Rani, Rachna, Nagaich, R.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Kumar, Rakesh, Rani, Rachna, Nagaich, R.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Arslan, Kadri, Ezentas, Ridvan, Mihai, Ion, Murathan, Cengizhan, Özgür, Cihan (2002)
International Journal of Mathematics and Mathematical Sciences
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Hukum Singh (1985)
Publications de l'Institut Mathématique
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Fumio Narita (2001)
Colloquium Mathematicae
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We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.
Erol Kılıç, Mukut Mani Tripathi, Mehmet Gülbahar (2016)
Annales Polonici Mathematici
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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...
Barbara Opozda (1983)
Annales Polonici Mathematici
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Ziqi Sun (2003)
Colloquium Mathematicae
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Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the...
Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Bashir, M.A. (1993)
International Journal of Mathematics and Mathematical Sciences
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Tripathi, Muck Main, Kim, Jean-Sic, Kim, Son-Be (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Kim, Jeong-Sik, Choi, Jaedong (2003)
International Journal of Mathematics and Mathematical Sciences
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Shichang, Shu, Sanyang, Liu (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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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...
Arslan, K., Ezentas, R., Murathan, C., Sasahara, T. (2005)
International Journal of Mathematics and Mathematical Sciences
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