On the Poles of Riemannian Manifolds of Nonnegative Curvature

2018 ◽  
Author(s):  
Kunio Sugahara
Keyword(s):  
Riemannian Manifolds ◽  
Nonnegative Curvature

scholarly journals Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature

2015 ◽  
Vol 2015 (700) ◽  
pp. 1-36 ◽  
Author(s):  
Bobo Hua ◽  
Jürgen Jost ◽  
Shiping Liu
Keyword(s):  
Riemannian Manifolds ◽  
Polynomial Growth ◽  
Volume Growth ◽  
Geometric Analysis ◽  
Nonnegative Curvature ◽  
Doubling Property ◽  
Alexandrov Geometry ◽  
Combinatorial Curvature ◽  
Volume Doubling

AbstractWe apply Alexandrov geometry methods to study geometric analysis aspects of infinite semiplanar graphs with nonnegative combinatorial curvature. We obtain the metric classification of these graphs and construct the graphs embedded in the projective plane minus one point. Moreover, we show the volume doubling property and the Poincaré inequality on such graphs. The quadratic volume growth of these graphs implies the parabolicity. Finally, we prove the polynomial growth harmonic function theorem analogous to the case of Riemannian manifolds.

scholarly journals Riesz means on Lie groups and riemannian manifolds of nonnegative curvature

1994 ◽  
Vol 122 (2) ◽  
pp. 209-223 ◽  
Author(s):  
Georgios Alexopoulos ◽  
Noël Lohoué
Keyword(s):  
Lie Groups ◽  
Riemannian Manifolds ◽  
Nonnegative Curvature ◽  
Riesz Means

On Ricci Riemannian Manifolds

2010 ◽  
Vol 0 (-1) ◽  
pp. 437-446 ◽  
Author(s):  
S. K. Saha
Keyword(s):  
Riemannian Manifolds

On the equicontinuity of families of inverse mappings of Riemannian manifolds

2019 ◽  
Vol 16 (4) ◽  
pp. 557-566
Author(s):  
Denis Ilyutko ◽  
Evgenii Sevost'yanov
Keyword(s):  
Riemannian Manifolds ◽  
Type Inequality ◽  
The Given ◽  
Range Of Values

We study homeomorphisms of Riemannian manifolds with unbounded characteristic such that the inverse mappings satisfy the Poletsky-type inequality. It is established that their families are equicontinuous if the function Q which is related to the Poletsky inequality and is responsible for a distortion of the modulus, is integrable in the given domain, here the original manifold is connected and the domain of definition and the range of values of mappings have compact closures.

Ball-homogeneous and disk-homogeneous Riemannian manifolds

1982 ◽  
Vol 180 (4) ◽  
pp. 429-444 ◽  
Author(s):  
Old?ich Kowalski ◽  
Lieven Vanhecke
Keyword(s):  
Riemannian Manifolds ◽  
Homogeneous Riemannian Manifolds

scholarly journals A structure theorem for polyharmonic maps between Riemannian manifolds

2021 ◽  
Vol 273 ◽  
pp. 14-39
Author(s):  
Volker Branding
Keyword(s):  
Riemannian Manifolds ◽  
Structure Theorem
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