scholarly journals Harmonic maps into singular spaces andp-adic superrigidity for lattices in groups of rank one

1992 ◽  
Vol 76 (1) ◽  
pp. 165-246 ◽  
Author(s):  
Mikhail Gromov ◽  
Richard Schoen
Keyword(s):  
Harmonic Maps ◽  
Singular Spaces ◽  
Rank One

scholarly journals UNIQUENESS THEOREMS FOR HARMONIC MAPS INTO METRIC SPACES

2002 ◽  
Vol 04 (04) ◽  
pp. 725-750 ◽  
Author(s):  
CHIKAKO MESE
Keyword(s):  
Riemannian Manifolds ◽  
Metric Space ◽  
Metric Spaces ◽  
Harmonic Maps ◽  
Uniqueness Theorems ◽  
Singular Spaces ◽  
Domain Space ◽  
Recent Developments

Recent developments extend much of the known theory of classical harmonic maps between smooth Riemannian manifolds to the case when the target is a metric space of curvature bounded from above. In particular, the existence and regularity theorems for harmonic maps into these singular spaces have been successfully generalized. Furthermore, the uniqueness of harmonic maps is known when the domain has a boundary (with a smallness of image condition if the target curvature is bounded from above by a positive number). In this paper, we will address the question of uniqueness when the domain space is without a boundary in two cases: one, when the curvature of the target is strictly negative and two, for a map between surfaces with nonpositive target curvature.

scholarly journals Harmonic maps between singular spaces I

2010 ◽  
Vol 18 (2) ◽  
pp. 257-337 ◽  
Author(s):  
Georgios Daskalopoulos ◽  
Chikako Mese
Keyword(s):  
Harmonic Maps ◽  
Singular Spaces

scholarly journals Quantitative gradient estimates for harmonic maps into singular spaces

2019 ◽  
Vol 62 (11) ◽  
pp. 2371-2400 ◽  
Author(s):  
Hui-Chun Zhang ◽  
Xiao Zhong ◽  
Xi-Ping Zhu
Keyword(s):  
Harmonic Maps ◽  
Gradient Estimates ◽  
Singular Spaces

scholarly journals Rank zero and rank one sets of harmonic maps

2000 ◽  
Vol 7 (2) ◽  
pp. 417-442 ◽  
Author(s):  
Qing Han ◽  
Fanghua Lin
Keyword(s):  
Harmonic Maps ◽  
Rank Zero ◽  
Rank One

Derivation of the Wave and Scattering Operators for an Interaction of Rank One

1970 ◽  
Vol 11 (8) ◽  
pp. 2415-2424 ◽  
Author(s):  
M. Anthea Grubb ◽  
D. B. Pearson
Keyword(s):  
Rank One ◽  
Scattering Operators
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