1-type submanifolds on non-Euclidean complex space forms.
Dimitrić, Ivko (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Similarity:
Dimitrić, Ivko (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Similarity:
Barbara Opozda
Similarity:
CONTENTSI. 1. Introduction..................................................................................................................................................................5 2. Preliminaries..............................................................................................................................................................11 3. On Simon’s conjecture..............................................................................................................................................13II....
M. J. Ferreira, Renato Tribuzy (1995)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
P. J. De Smet, F. Dillen, Leopold C. A. Verstraelen, L. Vrancken (1999)
Archivum Mathematicum
Similarity:
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 .
Arslan, Kadri, Ezentas, Ridvan, Mihai, Ion, Murathan, Cengizhan, Özgür, Cihan (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Li Haizhong (1993)
Publications de l'Institut Mathématique
Similarity:
Franki Dillen, Johan Fastenakels (2009)
Open Mathematics
Similarity:
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.
Ülo Lumiste (2003)
Czechoslovak Mathematical Journal
Similarity:
A Riemannian manifold is said to be semisymmetric if . A submanifold of Euclidean space which satisfies is called semiparallel. It is known that semiparallel submanifolds are intrinsically semisymmetric. But can every semisymmetric manifold be immersed isometrically as a semiparallel submanifold? This problem has been solved up to now only for the dimension 2, when the answer is affirmative for the positive Gaussian curvature. Among semisymmetric manifolds a special role is played...