scholarly journals A steady length function for Ricci flows

2020 ◽  
Vol 149 (1) ◽  
pp. 397-406
Author(s):  
Joshua Jordan
Keyword(s):  
Length Function ◽  
Ricci Flows

Parallel Residues

2017 ◽  
Author(s):  
Bernhard M¨uhlherr ◽  
Holger P. Petersson ◽  
Richard M. Weiss
Keyword(s):  
Distance Function ◽  
Length Function ◽  
Coxeter System ◽  
Vertex Set ◽  
Ordered Pairs

This chapter considers the notion of parallel residues in a building. It begins with the assumption that Δ‎ is a building of type Π‎, which is arbitrary except in a few places where it is explicitly assumed to be spherical. Δ‎ is not assumed to be thick. The chapter then elaborates on a hypothesis which states that S is the vertex set of Π‎, (W, S) is the corresponding Coxeter system, d is the W-distance function on the set of ordered pairs of chambers of Δ‎, and ℓ is the length function on (W, S). It also presents a notation in which the type of a residue R is denoted by Typ(R) and concludes with the condition that residues R and T of a building will be called parallel if R = projR(T) and T = projT(R).

Combinatorial p-th Ricci flows on surfaces

2021 ◽  
Vol 211 ◽  
pp. 112417
Author(s):  
Aijin Lin ◽  
Xiaoxiao Zhang
Keyword(s):  
Ricci Flows ◽  
Flows On Surfaces

The length function and matrix algebras

2013 ◽  
Vol 193 (5) ◽  
pp. 687-768 ◽  
Author(s):  
O. V. Markova
Keyword(s):  
Length Function ◽  
Matrix Algebras

scholarly journals Perelman's entropy on ancient Ricci flows

2021 ◽  
pp. 109195
Author(s):  
Zilu Ma ◽  
Yongjia Zhang
Keyword(s):  
Ricci Flows

scholarly journals Ricci flows with unbounded curvature

2012 ◽  
Vol 273 (1-2) ◽  
pp. 449-460 ◽  
Author(s):  
Gregor Giesen ◽  
Peter M. Topping
Keyword(s):  
Ricci Flows

scholarly journals Almost-rigidity and the extinction time of positively curved Ricci flows

2016 ◽  
Vol 369 (1-2) ◽  
pp. 899-911 ◽  
Author(s):  
Richard H. Bamler ◽  
Davi Maximo
Keyword(s):  
Extinction Time ◽  
Ricci Flows ◽  
Positively Curved ◽  
Almost Rigidity

scholarly journals Combinatorial Ricci Flows on Surfaces

2003 ◽  
Vol 63 (1) ◽  
pp. 97-129 ◽  
Author(s):  
Bennett Chow ◽  
Feng Luo
Keyword(s):  
Ricci Flows ◽  
Flows On Surfaces

scholarly journals Embedding construction based on amalgamations of group relators

2016 ◽  
Vol 08 (01) ◽  
pp. 1-24 ◽  
Author(s):  
A. Yu. Olshanskii
Keyword(s):  
Length Function ◽  
Tits Alternative

An embedding construction [Formula: see text] for groups [Formula: see text] with length function was introduced by the author earlier. Here we obtain new properties of this embedding, answering some questions raised by M. V. Sapir. In particular, an analog of Tits’ alternative holds for the subgroups of [Formula: see text].

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