An Arzela-Ascoli theorem for immersed submanifolds

DOI10.5802/afst.1168zbMath1158.53046arXivmath/0510231OpenAlexW2025324736MaRDI QIDQ954080

B. E. Eshmatov

Publication date: 7 November 2008

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510231

zbMATH Keywords

immersionsfiniteness theoremArzela-Ascoli theoremcompactness resultCheeger-Gromov topology

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Global submanifolds (53C40) Immersions in differential topology (57R42)

Related Items (6)

The Plateau problem for convex curvature functions ⋮ Special Lagrangian curvature ⋮ Degree Theory of Immersed Hypersurfaces ⋮ Compactness for immersions of prescribed Gaussian curvature. II: Geometric aspects ⋮ Immersions with bounded second fundamental form ⋮ Eternal forced mean curvature flows. I: A compactness result

Cites Work

• Unnamed Item
• Immersions with bounded curvature
• Finiteness Theorems for Riemannian Manifolds
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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