Rigidity of certain harmonic mappings

DOI10.1007/BF01389922zbMath0418.31005WikidataQ125618936 ScholiaQ125618936MaRDI QIDQ755720

Toshikazu Sunada

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142638

zbMATH Keywords

harmonic mappingscomplete Riemannian manifoldcompact connected Riemannian manifolddegree of rigiditynon-positively curved symmetric space

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Global Riemannian geometry, including pinching (53C20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items

Exponential convergence rate of the harmonic heat flow ⋮ Moduli spaces of holomorphic mappings into hyperbolically imbedding complex spaces and locally symmetric spaces ⋮ Quasi-linear elliptic differential equations for mappings of manifolds. II ⋮ The deformation of harmonic maps given by the Clifford tori ⋮ Plurisuperharmonicity of reciprocal energy function on Teichmüller space and Weil-Petersson metric ⋮ Classification of non-rigid families of abelian varieties ⋮ Hermitian curvature and plurisubharmonicity of energy on Teichmüller space ⋮ A note on Morse inequalities for harmonic maps with potential and their applications ⋮ Unnamed Item ⋮ Equivariant harmonic maps depend real analytically on the representation ⋮ Construction des applications harmoniques non rigides d'un tore dans la sphère ⋮ Generalizations of de Franchis theorem ⋮ INFINITESIMAL DEFORMATIONS OF HARMONIC MAPS AND MORPHISMS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal varieties and harmonic maps in tori
• Closed geodesics in a locally symmetric space
• Lusternik-Schnirelman theory on Banach manifolds
• Uniqueness conditions for certain holomorphic mappings
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Covering transformations and universals fibrations
• Non-linear elliptic operators on a compact manifold and an implicit function theorem
• Holomorphic mappings into a compact quotient of symmetric bounded domain
• A Report on Harmonic Maps
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space
• On Homotopic Harmonic Maps
• Morse theory on Banach manifolds
• Harmonic maps; a direct method in the calculus of variations
• Harmonic Mappings of Riemannian Manifolds