电子书 > 科学 > 数学 > Jurgen Berndt & Franco Tricerri: Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (PDF)

Jurgen Berndt & Franco Tricerri
Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces [PDF ebook]

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的封面 Jurgen Berndt & Franco Tricerri: Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (PDF)

Generalized Heisenberg groups, or H-type groups, introduced by A. Kaplan, and Damek-Ricci harmonic spaces are particularly nice Lie groups with a vast spectrum of properties and applications. These harmonic spaces are homogeneous Hadamard manifolds containing the H-type groups as horospheres.These notes contain a thorough study of their Riemannian geometry by means of a detailed treatment of their Jacobi vector fields and Jacobi operators. Some problems are included and will hopefully stimulate further research on these spaces. The book is written for students and researchers, assuming only basic knowledge of Riemannian geometry, and it contains a brief survey of the background material needed to follow the entire treatment.

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语言英语 ● 格式 PDF ● ISBN 9783540491712 ● 出版者 Springer Berlin Heidelberg ● 发布时间 2006 ● 下载 3 时 ● 货币 EUR ● ID 6319493 ● 复制保护 Adobe DRM

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