Convergence of riemannian manifolds
Stefan Peters (1987)
Compositio Mathematica
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Stefan Peters (1987)
Compositio Mathematica
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Avik De (2013)
Matematički Vesnik
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Ülo Lumiste (2003)
Czechoslovak Mathematical Journal
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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...
Bang-Yen Chen (2013)
Publications de l'Institut Mathématique
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P. Bueken, Lieven Vanhecke (1993)
Archivum Mathematicum
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We study to what extent some structure-preserving properties of the geodesic reflection with respect to a submanifold of an almost contact manifold influence the geometry of the submanifold and of the ambient space.
Y. Choquet-Bruhat (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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