Extremal distance and quasiconformal reflection constants of domains in ℝ N

1994 ◽  
Vol 62 (1) ◽  
pp. 1-28 ◽  
Author(s):  
Shanshuang Yang
Keyword(s):  
Extremal Distance ◽  
Quasiconformal Reflection

Minkowski spaces with extremal distance from the Euclidean space

1978 ◽  
Vol 29 (2-3) ◽  
pp. 113-131 ◽  
Author(s):  
V. D. Milman ◽  
H. Wolfson
Keyword(s):  
Euclidean Space ◽  
Extremal Distance ◽  
Minkowski Spaces

scholarly journals Extremal length and Dirichlet problem on Klein surfaces

2019 ◽  
Vol 39 (2) ◽  
pp. 281-296
Author(s):  
Monica Roşiu
Keyword(s):  
Dirichlet Problem ◽  
Extremal Length ◽  
Extremal Problems ◽  
Klein Surface ◽  
Klein Surfaces ◽  
Conformally Invariant ◽  
Extremal Distance

The object of this paper is to extend the method of extremal length to Klein surfaces by solving conformally invariant extremal problems on the complex double. Within this method we define the extremal length, the extremal distance, the conjugate extremal distance, the modulus, the reduced extremal distance on a Klein surface and we study their dependences on arcs.

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