Convergence of riemannian manifolds
Stefan Peters (1987)
Compositio Mathematica
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Displaying similar documents to “An Arzela-Ascoli theorem for immersed submanifolds”
Convergence of riemannian manifolds
On slant submanifolds of -contact metric manifolds
Avik De (2013)
Matematički Vesnik
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Semiparallel isometric immersions of 3-dimensional semisymmetric Riemannian manifolds
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...
A Tour Through -invariants: from Nash’s Embedding Theorem to Ideal Immersions, Best Ways of Living and Beyond
Bang-Yen Chen (2013)
Publications de l'Institut Mathématique
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Reflections with respect to submanifolds in contact geometry
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.