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- W70404700 abstract "The present chapter gives a prototype for a Cartan-Hadamard manifold, so complete, with seminegative curvature, simply connected, namely the space of symmetric positive definite real matrices of a given dimension. The example is obtained by “bending” a flat euclidean space by an exponential map. The chapter is essentially elementary, and could be read after the reader is acquainted with Riemannian metrics.KeywordsRIEMANNIAN ManifoldSymmetric SpaceGeodesic SubmanifoldFinite Dimensional Vector SpaceInfinite Dimensional CaseThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W70404700 date "1999-01-01" @default.
- W70404700 modified "2023-09-26" @default.
- W70404700 title "An Example of Seminegative Curvature" @default.
- W70404700 doi "https://doi.org/10.1007/978-1-4612-0541-8_12" @default.
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