scholarly journals Curvature bound from gravitational catalysis in thermal backgrounds

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Holger Gies ◽  
Abdol Sabor Salek
Keyword(s):  
Curvature Bound

scholarly journals Harmonic branched coverings and uniformization of CAT(k) spheres

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Christine Breiner ◽  
Chikako Mese
Keyword(s):  
Harmonic Map ◽  
Branched Coverings ◽  
Curvature Bound ◽  
Branched Covering

Abstract Let S be a surface with a metric d satisfying an upper curvature bound in the sense of Alexandrov (i.e. via triangle comparison). We show that an almost conformal harmonic map from a surface into ( S , d ) {(S,d)} is a branched covering. As a consequence, if ( S , d ) {(S,d)} is homeomorphically equivalent to the 2-sphere 𝕊 2 {\mathbb{S}^{2}} , then it is conformally equivalent to 𝕊 2 {\mathbb{S}^{2}} .

Curvature bound for a curve flow with a prescribed rate of change in enclosed area

2018 ◽  
Vol 29 (08) ◽  
pp. 1850053
Author(s):  
Jianbo Fang ◽  
Shengliang Pan ◽  
Yunlong Yang
Keyword(s):  
Rate Of Change ◽  
Partial Answer ◽  
Curvature Bound ◽  
Curve Flow ◽  
Nonlocal Flow

This paper deals with the curvature bound for a nonlocal curve flow with a prescribed rate of change in enclosed area via Andrews–Bryan’s distance comparison. As a by-product, a partial answer to a conjecture given by Dallaston and McCue is obtained and the [Formula: see text] convergence of the curvature for the nonlocal flow is achieved.

scholarly journals Warped products admitting a curvature bound

2016 ◽  
Vol 303 ◽  
pp. 88-122 ◽  
Author(s):  
Stephanie B. Alexander ◽  
Richard L. Bishop
Keyword(s):  
Warped Products ◽  
Curvature Bound

scholarly journals Geodesically complete spaces with an upper curvature bound

2019 ◽  
Vol 29 (1) ◽  
pp. 295-342 ◽  
Author(s):  
Alexander Lytchak ◽  
Koichi Nagano
Keyword(s):  
Curvature Bound ◽  
Geodesically Complete
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