Universal natural shapes
Johan Gielis, Stefan Haesen, Leopold Verstraelen (2005)
Kragujevac Journal of Mathematics
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Johan Gielis, Stefan Haesen, Leopold Verstraelen (2005)
Kragujevac Journal of Mathematics
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Simona Decu, Anica Pantić, Miroslava Petrović-Torgašev, Leopold Verstraelen (2013)
Kragujevac Journal of Mathematics
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Trenčevski, K. (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Bang-Yen Chen, Huei-Shyong Lue (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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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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 .
Franki Dillen, Johan Fastenakels (2009)
Open Mathematics
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We show that a Lagrangian submanifold of a complex space form attaining equality in the inequality obtained by Oprea in [8], must be totally geodesic.
Barbara Opozda
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CONTENTSI. 1. Introduction..................................................................................................................................................................5 2. Preliminaries..............................................................................................................................................................11 3. On Simon’s conjecture..............................................................................................................................................13II....
Ghazal, Tahsin, Deshmukh, Sharief (1991)
International Journal of Mathematics and Mathematical Sciences
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Guo Zhen (2004)
Collectanea Mathematica
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In this paper we generalize the self-adjoint differential operator (used by Cheng-Yau) on hypersurfaces of a constant curvature manifold to general submanifolds. The generalized operator is no longer self-adjoint. However we present its adjoint operator. By using this operator we get the pinching theorem on Willmore submanifolds which is analogous to the pinching theorem on minimal submanifold of a sphere given by Simon and Chern-Do Carmo-Kobayashi.