Finite energy and totally geodesic maps from locally symmetric spaces of finite volume

DOI10.1007/BF01246149zbMath0871.53035MaRDI QIDQ1921332

Jiayu Li, Juergen Jost

Publication date: 24 September 1997

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

symmetric spacefinite volumefinite energytotally geodesic map

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20) Differential geometry of symmetric spaces (53C35)

Cites Work

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• On the essential spectrum of a complete Riemannian manifold
• On the cuspidal spectrum for finite volume symmetric spaces
• Archimedean superrigidity and hyperbolic geometry
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
• Geometric superrigidity
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• On the point spectrum for finite volume symmentric spaces of negative curvature
• Stable real cohomology of arithmetic groups

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