scholarly journals Complete Ricci Solitons via Estimates on the Soliton Potential

2020 ◽  
Author(s):  
Matthias Wink
Keyword(s):  
Large Class ◽  
Ricci Solitons ◽  
Growth Estimate ◽  
Cohomogeneity One ◽  
Cohomogeneity One Manifolds

Abstract In this paper, a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the setups of Lü–Page–Pope [ 24] and Dancer–Wang [ 17]. It also provides a different approach to the two summands system [ 30] that applies to all known geometric examples.

Solutions of the Ricci soliton equation for a large class of Siklos spacetimes

2021 ◽  
pp. 2150052
Author(s):  
Giovanni Calvaruso
Keyword(s):  
Large Class ◽  
Vector Fields ◽  
Killing Vector ◽  
Ricci Soliton ◽  
Ricci Solitons ◽  
Killing Vector Fields ◽  
Soliton Equation

We determine and describe all the Ricci solitons within a very large class of Siklos metrics. As an application, the Ricci soliton equation is completely solved for several classes of Siklos metrics admitting additional Killing vector fields (in particular, for several homogeneous ones).

scholarly journals SMOOTHNESS CONDITIONS IN COHOMOGENEITY ONE MANIFOLDS

2020 ◽  
Author(s):  
L. VERDIANI ◽  
W. ZILLER
Keyword(s):  
Efficient Method ◽  
Regular Part ◽  
Cohomogeneity One ◽  
Singular Orbit ◽  
Cohomogeneity One Manifolds

Abstract We present an efficient method for determining the conditions that a metric on a cohomogeneity one manifold, defined in terms of functions on the regular part, needs to satisfy in order to extend smoothly to the singular orbit.

Cohomogeneity one manifolds and hypersurfaces of the euclidean space

1995 ◽  
Vol 13 (2) ◽  
pp. 169-184 ◽  
Author(s):  
Fabio Podest� ◽  
Andrea Spiro
Keyword(s):  
Euclidean Space ◽  
Cohomogeneity One ◽  
Cohomogeneity One Manifolds

scholarly journals Seven dimensional cohomogeneity one manifolds with nonnegative curvature

2018 ◽  
Vol 371 (1-2) ◽  
pp. 655-662
Author(s):  
Luigi Verdiani ◽  
Wolfgang Ziller
Keyword(s):  
Nonnegative Curvature ◽  
Cohomogeneity One ◽  
Cohomogeneity One Manifolds

scholarly journals On Ricci solitons of cohomogeneity one

2010 ◽  
Vol 39 (3) ◽  
pp. 259-292 ◽  
Author(s):  
Andrew S. Dancer ◽  
McKenzie Y. Wang
Keyword(s):  
Ricci Solitons ◽  
Cohomogeneity One
Sign in / Sign up

Export Citation Format

Share Document