HOROSPHERES AND HYPERBOLIC SPACES

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概要

• 論文の詳細を見る

• Let X be a Hadamard manifold. By applying the stable Jacobi tensor along horospherical foliations of X, a characterization of the real space form is obtained by means of the second fundamental form of the horospheres. The complex space form, the quaternionic space form and the other rank-one symmetric spaces of non-compact type are also similarly characterized. Geometrical characterization of horospheres are also given.

• 九州大学大学院数理学研究院の論文

著者

• Itoh Mitsuhiro

  Institute Of Mathematics University Of Tsukuba

• SATOH Hiroyasu

  School of Information Environment Tokyo Denki University

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