scholarly journals Analytic approaches and harmonic functions on Alexandrov spaces with nonnegative Ricci curvature

2012 ◽  
Vol 390 (1) ◽  
pp. 301-306 ◽  
Author(s):  
Zhenhua Jiao
Keyword(s):  
Ricci Curvature ◽  
Harmonic Functions ◽  
Alexandrov Spaces ◽  
Nonnegative Ricci Curvature

scholarly journals Three-Dimensional Alexandrov Spaces with Positive or Nonnegative Ricci Curvature

2017 ◽  
Vol 48 (2) ◽  
pp. 223-238 ◽  
Author(s):  
Qintao Deng ◽  
Fernando Galaz-García ◽  
Luis Guijarro ◽  
Michael Munn
Keyword(s):  
Ricci Curvature ◽  
Three Dimensional ◽  
Alexandrov Spaces ◽  
Nonnegative Ricci Curvature

scholarly journals Lower bounds on Ricci flow invariant curvatures and geometric applications

2015 ◽  
Vol 2015 (703) ◽  
Author(s):  
Thomas Richard
Keyword(s):  
Scalar Curvature ◽  
Ricci Curvature ◽  
Lower Bounds ◽  
Ricci Flow ◽  
Nonnegative Curvature ◽  
Curvature Operator ◽  
Nonnegative Ricci Curvature ◽  
Invariant Cones

AbstractWe consider Ricci flow invariant cones 𝒞 in the space of curvature operators lying between the cones “nonnegative Ricci curvature” and “nonnegative curvature operator”. Assuming some mild control on the scalar curvature of the Ricci flow, we show that if a solution to the Ricci flow has its curvature operator which satisfies

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