Existence and regularity of isometries

DOI10.1090/S0002-9947-06-04090-6zbMath1156.53310OpenAlexW1753287829MaRDI QIDQ3373716

Michael E. Taylor

Publication date: 8 March 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04090-6

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (21)

Total mean curvature of the boundary and nonnegative scalar curvature fill-ins ⋮ The Poisson embedding approach to the Calderón problem ⋮ Scalar curvature and singular metrics ⋮ Stability of isometric immersions of hypersurfaces ⋮ Marked boundary rigidity for surfaces of Anosov type ⋮ The Myers-Steenrod theorem for Finsler manifolds of low regularity ⋮ On the positive mass theorem for manifolds with corners ⋮ A local version of the Myers–Steenrod theorem ⋮ Inextendibility of spacetimes and Lorentzian length spaces ⋮ A volume comparison theorem for characteristic numbers ⋮ Remarks on manifolds with two-sided curvature bounds ⋮ Geometric structures of collapsing Riemannian manifolds. II ⋮ Reshetnyak rigidity for Riemannian manifolds ⋮ A heat flow for special metrics ⋮ Boundedness and invariant metrics for diffeomorphism cocycles over hyperbolic systems ⋮ Equidimensional isometric extensions ⋮ On Hölder continuous Riemannian and Finsler metrics ⋮ Embedding surfaces inside small domains with minimal distortion ⋮ Harmonic coordinates for the nonlinear Finsler Laplacian and some regularity results for Berwald metrics ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T) ⋮ Isometries of Carnot groups and sub-Finsler homogeneous manifolds

Cites Work

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• Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
• On the recovery of a surface with prescribed first and second fundamental forms.
• On the smoothness of isometries
• The group of isometries of a Riemannian manifold
• On Uniform Dini Conditions in the Theory of Linear Partial Differential Equations of Elliptic Type
• On Hölder continuous Riemannian and Finsler metrics
• The C^1,1 conclusions in Gromov's theory
• Some regularity theorems in riemannian geometry
• On the Fundamental Equations of Differential Geometry
• On the Local Uniqueness of Geodesics
• On the Existence of Riemannian Manifolds which cannot Carry Non-Constant Analytic or Harmonic Functions in the Small

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