On Sasaki–Ricci solitons and their deformations
Copyright policy )On Sasaki–Ricci solitons and their deformations
Abstract We extend to the Sasakian setting a result of Tian and Zhu about the decomposition of the Lie algebra of holomorphic vector fields on a Kähler manifold in the presence of a Kähler-Ricci soliton. Furthermore we apply known deformations of Sasakian structures to a Sasaki-Ricci soliton to obtain a stability result concerning generalized Sasaki-Ricci solitons, generalizing results of Li in the Kähler setting and of He and Sun by relaxing some of their assumptions.
- University of Hannover Germany
Mathematics - Differential Geometry, deformations, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, 53C25, Sasakian manifolds, Special Riemannian manifolds (Einstein, Sasakian, etc.), Sasaki-Ricci solitons, Differential Geometry (math.DG), FOS: Mathematics
Mathematics - Differential Geometry, deformations, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, 53C25, Sasakian manifolds, Special Riemannian manifolds (Einstein, Sasakian, etc.), Sasaki-Ricci solitons, Differential Geometry (math.DG), FOS: Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!