On isometries and on a theorem of Liouville

DOI10.1007/BF01187401zbMath0097.38203MaRDI QIDQ773510

Philip Hartman

Publication date: 1958

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/169735

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items

Weierstrass representations for triply orthogonal and conformal Euclidean and Lorentzian systems, The Miniowitz and Vuorinen theorems for the mappings with non-bounded characteristics, Stability of isometric immersions of hypersurfaces, The Liouville theorem under second order differentiability assumption, On equicontinuity of ring \(Q\)-mappings, Causal and conformal structures of two-dimensional globally hyperbolic spacetimes, The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds, Isometries between Sobolev spaces, Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds, Reshetnyak rigidity for Riemannian manifolds, Fractal measures for parabolic IFS, Embedding surfaces inside small domains with minimal distortion, On the stability of conformal mappings in multidimensional spaces, Towards three-dimensional conformal probability

Cites Work

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• On Unsmooth Two-Dimensional Riemannian Metrics