C∞-REGULARITY OF A MANIFOLD AS A FUNCTION OF ITS METRIC TENSOR

DOI10.1142/S0219530506000681zbMath1095.35012OpenAlexW2063635054MaRDI QIDQ3379453

Christinel Mardare

Publication date: 6 April 2006

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530506000681

zbMATH Keywords

isometric immersionsdifferential geometry

Mathematics Subject Classification ID

Pfaffian systems (58A17) Global Riemannian geometry, including pinching (53C20) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items

Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\), NONLINEAR SAINT–VENANT COMPATIBILITY CONDITIONS AND THE INTRINSIC APPROACH FOR NONLINEARLY ELASTIC PLATES, Existence theorems in intrinsic nonlinear elasticity, The pure displacement problem in nonlinear three-dimensional elasticity: Intrinsic formulation and existence theorems

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