scholarly journals Unitarily Invariant Metrics on the Grassmann Space

2005 ◽  
Vol 27 (2) ◽  
pp. 507-531 ◽  
Author(s):  
Li Qiu ◽  
Yanxia Zhang ◽  
Chi-Kwong Li
Keyword(s):  
Invariant Metrics ◽  
Grassmann Space

scholarly journals Estimates for invariant metrics on $\mathbb C$-convex domains

2011 ◽  
Vol 363 (12) ◽  
pp. 6245-6256 ◽  
Author(s):  
Nikolai Nikolov ◽  
Peter Pflug ◽  
Włodzimierz Zwonek
Keyword(s):  
Invariant Metrics ◽  
Convex Domains

scholarly journals Scale Invariant Metrics of Volumetric Datasets

2015 ◽  
Vol 8 (1) ◽  
pp. 403-425 ◽  
Author(s):  
Dan Raviv ◽  
Ramesh Raskar
Keyword(s):  
Invariant Metrics ◽  
Scale Invariant

scholarly journals The Ricci pinching functional on solvmanifolds

2019 ◽  
Author(s):  
Jorge Lauret ◽  
Cynthia E Will
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Invariant Metrics ◽  
Solvable Lie Groups ◽  
Left Invariant Metrics ◽  
Solvable Lie Group

Abstract We study the natural functional $F=\frac {\operatorname {scal}^2}{|\operatorname {Ric}|^2}$ on the space of all non-flat left-invariant metrics on all solvable Lie groups of a given dimension $n$. As an application of properties of the beta operator, we obtain that solvsolitons are the only global maxima of $F$ restricted to the set of all left-invariant metrics on a given unimodular solvable Lie group, and beyond the unimodular case, we obtain the same result for almost-abelian Lie groups. Many other aspects of the behavior of $F$ are clarified.

scholarly journals Invariant Metrics, An Important Tool in Several Complex Variables

2020 ◽  
Vol 30 (2) ◽  
pp. 1173-1173
Author(s):  
Marek Jarnicki ◽  
Steven G. Krantz ◽  
Peter Pflug
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Invariant Metrics
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