Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds
From MaRDI portal
Publication:909306
DOI10.1007/BF02571268zbMath0694.58010MaRDI QIDQ909306
Yoshihiro Ohnita, Seiichi Udagawa
Publication date: 1990
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174200
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)
Related Items (5)
Classification of pluriharmonic maps from compact complex manifolds with positive first Chern class into complex Grassmann manifolds ⋮ A RIGIDITY PROPERTY OF PLURIHARMONIC MAPS FROM PROJECTIVE MANIFOLDS ⋮ Nonexistence of stable discrete maps into some homogeneous spaces of nonnegative curvature ⋮ RC-positivity and rigidity of harmonic maps into Riemannian manifolds ⋮ STABILITY OF HARMONIC MORPHISMS TO A SURFACE
Cites Work
- Harmonic maps from surfaces to complex projective spaces
- The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
- The nonexistence of stable submanifolds, varifolds, and harmonic maps in sufficiently pinched simply connected Riemannian manifolds
- Geometry of maps between generalized flag manifolds
- Stable harmonic maps from Riemann surfaces to compact Hermitian symmetric spaces
- Pinching and nonexistence of stable harmonic maps
- Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
- Stability of harmonic maps of Kähler manifolds
- Compact Kähler manifolds of positive bisectional curvature
- Curvature characterization of hyperquadrics
- Strong rigidity of compact quotients of exceptional bounded symmetric domains
- Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
- The Gauss map of Kaehler immersions
- Restrictions on harmonic maps of surfaces
- Totally geodesic submanifolds of symmetric spaces. II
- On stable currents and their application to global problems in real and complex geometry
- Homogeneous harmonic maps into complex projective spaces
- The Gauss Map and Nonholomorphic Harmonic Maps
- Characteristic Classes and Homogeneous Spaces, I
- On Pluriharmonicity of Stable Harmonic Maps
- Pluriharmonic Maps and Minimal Immersions of Kähler Manifolds
- Applications harmoniques stables dans $P^n$
- Holomorphicity of Certain Stable Harmonic Maps and Minimal Immersions
- Pluriharmonic Maps into Compact Lie Groups and Factorization into Unitons
- Calabi's conjecture and some new results in algebraic geometry
- Stable harmonic 2-spheres in symmetric spaces
This page was built for publication: Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds