scholarly journals Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature

2017 ◽  
Vol 319 ◽  
pp. 396-450 ◽  
Author(s):  
Richard H. Bamler ◽  
Qi S. Zhang
Keyword(s):  
Scalar Curvature ◽  
Heat Kernel ◽  
Curvature Bounds ◽  
Ricci Flows

Curvature Bounds for the Spectrum of Closed Einstein Spaces

1978 ◽  
Vol 30 (5) ◽  
pp. 1087-1091 ◽  
Author(s):  
Udo Simon
Keyword(s):  
Lower Bound ◽  
Scalar Curvature ◽  
Sectional Curvature ◽  
Constant Scalar Curvature ◽  
Einstein Space ◽  
Curvature Bounds ◽  
Nonzero Eigenvalue ◽  
Einstein Spaces ◽  
Image Position

The following is our main result.(A) THEOREM. Let (M, g) be a closed connected Einstein space, n = dim M ≧ 2 (with constant scalar curvature R). Let K0 be the lower bound of the sectional curvature. Then either (M, g) is isometrically diffeomorphic to a sphere and the first nonzero eigenvalue ƛ1of the Laplacian fulfils

scholarly journals Scalar Curvature Behavior of Homogeneous Ricci Flows

2014 ◽  
Vol 25 (4) ◽  
pp. 2313-2322 ◽  
Author(s):  
Ramiro A. Lafuente
Keyword(s):  
Scalar Curvature ◽  
Ricci Flows
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