Global Differential Geometry and Global Analysis

1981 ◽  
Keyword(s):  
Differential Geometry ◽  
Global Analysis ◽  
Global Differential Geometry

scholarly journals Rigidity of gradient Einstein shrinkers

2015 ◽  
Vol 17 (06) ◽  
pp. 1550046 ◽  
Author(s):  
Giovanni Catino ◽  
Lorenzo Mazzieri ◽  
Samuele Mongodi
Keyword(s):  
Differential Geometry ◽  
Sectional Curvature ◽  
Ricci Curvature ◽  
Einstein Metrics ◽  
Global Analysis ◽  
Ricci Solitons ◽  
Global Differential Geometry ◽  
Lecture Notes ◽  
Negative Sectional Curvature

In this paper, we consider a perturbation of the Ricci solitons equation proposed in [J.-P. Bourguignon, Ricci curvature and Einstein metrics, in Global Differential Geometry and Global Analysis, Lecture Notes in Mathematics, Vol. 838 (Springer, Berlin, 1981), pp. 42–63] and studied in [H.-D. Cao, Geometry of Ricci solitons, Chinese Ann. Math. Ser. B27(2) (2006) 121–142] and we classify noncompact gradient shrinkers with bounded non-negative sectional curvature.

Global Differential Geometry.

1991 ◽  
Vol 98 (7) ◽  
pp. 669
Author(s):  
Thomas F. Banchoff ◽  
S. S. Chern
Keyword(s):  
Differential Geometry ◽  
Global Differential Geometry
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