Harmonic maps of bounded symmetric domains

1995 ◽  
Vol 303 (1) ◽  
pp. 417-433 ◽  
Author(s):  
Y. L. Xin
Keyword(s):  
Harmonic Maps ◽  
Bounded Symmetric Domains

Harmonic maps from bounded symmetric domains to Finsler manifolds

2013 ◽  
Vol 194 (2) ◽  
pp. 569-579
Author(s):  
Jintang Li
Keyword(s):  
Harmonic Maps ◽  
Bounded Symmetric Domains ◽  
Finsler Manifolds

Harmonic Maps, Conservation Laws and Moving Frames

2002 ◽  
Author(s):  
Frédéric Hélein
Keyword(s):  
Conservation Laws ◽  
Harmonic Maps ◽  
Moving Frames

Nonradial solutions of elliptic weighted superlinear problems in bounded symmetric domains

2020 ◽  
Vol 492 (1) ◽  
pp. 124429
Author(s):  
Hugo Aduén ◽  
Sigifredo Herrón
Keyword(s):  
Bounded Symmetric Domains

scholarly journals Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains

2021 ◽  
Author(s):  
Antonin Monteil ◽  
Rémy Rodiac ◽  
Jean Van Schaftingen
Keyword(s):  
Compact Manifold ◽  
Harmonic Maps ◽  
Planar Domains

Exponentially harmonic maps carrying potential

2021 ◽  
Vol 27 (1) ◽  
Author(s):  
Yuan-Jen Chiang
Keyword(s):  
Harmonic Maps

scholarly journals Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains

2021 ◽  
Vol 93 (3) ◽  
Author(s):  
Harald Upmeier
Keyword(s):  
Toeplitz Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Bounded Symmetric Domains

AbstractWe determine the eigenvalues of certain “fundamental” K-invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains $$D=G/K,$$ D = G / K , for the irreducible K-types indexed by all partitions of length $$r={\mathrm {rank}}(D)$$ r = rank ( D ) .

scholarly journals The Adjunction Inequality for Weyl-Harmonic Maps

2020 ◽  
Vol 7 (1) ◽  
pp. 129-140
Author(s):  
Robert Ream
Keyword(s):  
Minimal Surfaces ◽  
Twistor Space ◽  
Harmonic Maps ◽  
Holomorphic Curves ◽  
Weyl Connection ◽  
Almost Kähler ◽  
Conformal Manifolds

AbstractIn this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical 𝒥-holomorphic curves in the weightless twistor space and branched Weyl-minimal surfaces. When (M, c, J) is conformally almost-Hermitian, there is a canonical Weyl connection. We show that for the canonical Weyl connection, branched Weyl-minimal surfaces satisfy the adjunction inequality\chi \left( {{T_f}\sum } \right) + \chi \left( {{N_f}\sum } \right) \le \pm {c_1}\left( {f*{T^{\left( {1,0} \right)}}M} \right).The ±J-holomorphic curves are automatically Weyl-minimal and satisfy the corresponding equality. These results generalize results of Eells-Salamon and Webster for minimal surfaces in Kähler 4-manifolds as well as their extension to almost-Kähler 4-manifolds by Chen-Tian, Ville, and Ma.

scholarly journals Generalized neck analysis of harmonic maps from surfaces

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Hao Yin
Keyword(s):  
Harmonic Maps
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