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Titlebook: Geometry and Analysis on Manifolds; In Memory of Profess Takushiro Ochiai,Toshiki Mabuchi,Alan Weinstein Book 2015 Springer International P

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https://doi.org/10.1007/978-3-662-01400-4We present a moving frames proof, with motivation and context, that all nonumbilic Dupin immersions of a surface are Lie sphere congruent to each other.
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A Lemma on Hartogs Function and Application to Levi Flat Hypersurfaces in Hopf SurfacesThe Levi form of the Hartogs function is computed for the domains with Levi flat boundary. The result is applied to the classification of Levi flat hypersurfaces in Hopf surfaces.
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Geometry and Arithmetic on the Siegel–Jacobi SpaceThe Siegel–Jacobi space is a non–symmetric homogeneous space which is very important geometrically and arithmetically. In this paper, we discuss the theory of the geometry and the arithmetic of the Siegel–Jacobi space.
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Dupin Hypersurfaces in Lie Sphere GeometryWe present a moving frames proof, with motivation and context, that all nonumbilic Dupin immersions of a surface are Lie sphere congruent to each other.
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Takushiro Ochiai,Toshiki Mabuchi,Alan WeinsteinPresents lectures on recent topics in complex geometry and complex analysis for young researchers.Broadens your insight on merging geometry and analysis on manifolds.Provides a comprehensive list of S
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