Generalized Heisenberg groups and Damek-Ricci harmonic spaces / / Jürgen Berndt, Franco Tricerri, Lieven Vanhecke

• Autore: Berndt Jürgen <1959->
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1995]; ©1995
• Edizione: 1st ed. 1995.
• Descrizione fisica: 1 online resource (VIII, 128 p.)
• Disciplina: 510
• Soggetto topico: Riemannian manifolds; Global differential geometry; Geometry, Riemannian
• Classificazione: 53C25; 22E25
• Persona (resp. second.): VanheckeL; TricerriF <1947-> (Franco)
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (pages [115]-122) and index.
• Nota di contenuto: Symmetric-like riemannian manifolds -- Generalized Heisenberg groups -- Damek-Ricci spaces.
• Sommario/riassunto: 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.
• Titolo autorizzato: Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• ISBN: 3-540-49171-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466374603316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1598