On the Focal Locus of a Submanifold in a Riemannian Manifold of Constant Sectional Curvature
Hukum Singh (1985)
Publications de l'Institut Mathématique
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Hukum Singh (1985)
Publications de l'Institut Mathématique
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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...
Dursun, Uǧur (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Ryszard Deszcz, Miroslava Petrović-Torgašev, Zerrin Şentürk, Leopold Verstraelen (2010)
Publications de l'Institut Mathématique
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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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P. J. De Smet, F. Dillen, Leopold C. A. Verstraelen, L. Vrancken (1999)
Archivum Mathematicum
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We obtain a pointwise inequality valid for all submanifolds of all real space forms with and with codimension two, relating its main scalar invariants, namely, its scalar curvature from the intrinsic geometry of , and its squared mean curvature and its scalar normal curvature from the extrinsic geometry of in .
A. M. Naveira (1994)
Revista Matemática de la Universidad Complutense de Madrid
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The total curvatures of the submanifolds immersed in the Euclidean space have been studied mainly by Santaló and Chern-Kuiper. In this paper we give geometrical and topological interpretation of the total (non absolute) curvatures of the even dimensional submanifolds immersed in R. This gives a generalization of two results obtained by Santaló.
Trenčevski, K. (1997)
General Mathematics
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Ghazal, Tahsin, Deshmukh, Sharief (1991)
International Journal of Mathematics and Mathematical Sciences
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Decu, Simona, Haesen, Stefan, Verstraelen, Leopold (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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