Results 51 to 60 of about 15,646,215 (77)
Riemannian submersions From Almost Hermitian Manifolds
In this chapter, we introduce various new Riemannian submersions from almost Hermitian manifolds on to Riemannian manifolds. In section 1, we first review almost Hermitian manifolds and their submanifolds, and give brief information about holomorphic ...
Sahin, Bayram, Bayram Şahin
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Holonomy and submanifold geometry [PDF]
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
CONSOLE S +4 more
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Geometrical aspects of spinor and twistor analysis [PDF]
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
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Riemannian geometry and geometric analysis
Offering some topics of contemporary mathematical research, this fourth edition provides an introduction to Riemannian geometry and geometric analysis. It focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry,
Jost, Jürgen
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Comparison theorems in Riemannian geometry
The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first five chapters are preparatory in nature.
Ebin, David G, Cheeger, Jeff
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Conformal Geometry versus Riemannian Geometry [PDF]
Riemannian and conformal geometry are classical topics of differential geometry. Even though both kinds of geometries are much related and have many common questions and features, they are very different in nature.
Leitner, Felipe
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Pinching constants for hyperbolic manifolds
We show in this paper that for everyn≧4 there exists a closedn-dimensional manifoldV which carries a Riemannian metric with negative sectional curvatureK but which admits no metric with constant curvatureK≡−1.
Thurston, W +3 more
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Geometric control theory and sub-Riemannian geometry
This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability ...
Sigalotti, Mario +4 more
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The author's intent behind this book was to provide to advanced undergraduate and graduate students an introduction to modern Riemannian geometry that could also serve as a reference.
Sakai, Takashi
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