Transformation Groups In Differential Geometry

By A. Mueller. 2016

355 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c2a23988dfb857f2fb46bd33bd0b2d863567d1c7

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Citations in the corpus

• Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature (2012, background): “BecauseX is homeomorphic to the orbit space of an isometric action on a Riemannian manifold, the fact that χ(X) = χ(Fix(X ;T (1))) for anyT 1 in the torus now follows just as in the Riemannian case [26], not ing that the subspaces to which the Lefschetz Fixed Point Theorem are app lied are all trian”
• The gap phenomenon in parabolic geometries (2013, background): “The gap problem for various geometric structures has been studied since the time of Sophus Lie by many authors, including Fubini, Cartan, Yano, Wakakuwa, Vranceanu, Egorov, Obata, and Kobayashi – see [23, 21, 27] and references therein.”