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An Integrability Condition for Simple Lie Groups,in parallelism and curvature properties which, when satisfied to a certain degree of approximation, delimit a general class of Riemannian manifolds with the same structure”. In addition, Rauch observed that these curvature properties can be viewed as the integrability condition of a certain set of pHost142 发表于 2025-3-30 21:04:40
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On the Structure of Complete Manifolds with Positive Scalar Curvature,which are needed for his proof of the pinching theorem, are fundamental for later developments in Riemannian geometry. His work initiated a systematic research developed by Klingenberg, Berger, Gromoll, Meyer, Cheeger, Gromov, Ruh, Shio-hama, Karcher, etc. This work depends heavily on how a length-m预知 发表于 2025-3-31 07:19:40
articles summarizing Rauch‘s own work in differential geometry, complex analysis and theta functions (ii) articles which would give the reader an idea of the depth and breadth of Rauch‘s researches, interests, and influence, in the fields he investigated, and (iii) articles of high scientific quali从容 发表于 2025-3-31 09:44:13
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