Ends of locally symmetric spaces with maximal bottom spectrum

DOI10.1515/CRELLE.2009.048zbMath1270.58018OpenAlexW2117939807MaRDI QIDQ3395147

Peter Li, Lizhen Ji, Jiaping Wang

Publication date: 24 August 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2009.048

zbMATH Keywords

first eigenvaluesymmetric space of non-compact typelocal symmetric space

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35)

Related Items

Riesz means on locally symmetric spaces ⋮ Maximal bottom of spectrum or volume entropy rigidity in Alexandrov geometry ⋮ Normal covering spaces with maximal bottom of spectrum ⋮ Rigidity of manifolds with Bakry-Émery Ricci curvature bounded below

Cites Work

• On the Martin boundary of Riemannian products
• On compact, locally symmetric Kähler manifolds
• On the curvature tensor of the hermitian symmetric manifolds
• The spectral geometry of a tower of coverings
• The splitting theorem for orbifolds
• Complete manifolds with positive spectrum
• Complete manifolds with positive spectrum. II.
• Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
• On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces
• Laplacian and the Discrete Spectrum of an Arithmetic Group
• Critical exponents of discrete groups and 𝐿²–spectrum
• On the Heat Kernel of the Bergmann Metric on Algebraic Varieties

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