Real hypersurfaces in the complex hyperbolic quadric with harmonic curvature

Ricci-Bourguignon solitons on real hypersurfaces in the complex hyperbolic quadric

Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact type Hermitian symmetric spaces Structure of semisimple Lie groups The classification of simple Lie algebras and of symmetric spaces Solutions to exercises Some details Bibliography List of notational conventions Symbols frequently used Index Reviews for the first edition.

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Differential Geometry, Lie Groups, and Symmetric Spaces

Preface to the Second Edition Preface to the First Edition List of Figures Prerequisites by Chapter Standard Notation Introduction: Closed Linear Groups Lie Algebras and Lie Groups Complex Semisimple Lie Algebras Universal Enveloping Algebra Compact Lie Groups Finite-Dimensional Representations Structure Theory of Semisimple Groups Advanced Structure Theory Integration Induced Representations and Branching Theorems Prehomogeneous Vector Spaces Appendices Hints for Solutions of Problems Historical Notes References Index of Notation Index

background

Lie groups beyond an introduction

Invariant Affine Connections on Homogeneous Spaces

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The Foundations Of Differential Geometry

Starting from the foundations, this text presents an almost entirely self-contained treatment of differentiable spaces of nonpositive curvature, focusing on the symmetric spaces in which every geodesic lies in a flat Euclidean space of dimension at least two. The book builds to a discussion of the Mostow Rigidity Theorem and its generalizations, and concludes by exploring the relationship in nonpositively curved spaces between geometric and algebraic properties of the fundamental group.

Real hypersurfaces in the complex hyperbolic quadric with harmonic curvature

Citations

Ricci-Bourguignon solitons on real hypersurfaces in the complex hyperbolic quadric

References

Differential Geometry, Lie Groups, and Symmetric Spaces

Lie groups beyond an introduction

Invariant Affine Connections on Homogeneous Spaces

The Foundations Of Differential Geometry

Geometry of Nonpositively Curved Manifolds

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