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On Sasaki–Ricci solitons and their deformations
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David Petrecca
Published/Copyright:
January 16, 2016
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.
Received: 2014-3-17
Published Online: 2016-1-16
Published in Print: 2016-1-1
© 2016 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Pseudospherical surfaces of low differentiability
- Complex Finsler structures on tensor products
- On the Lefschetz trace formula for Lubin–Tate spaces
- Classes of generalized Weingarten surfaces in the Euclidean 3-space
- On Sasaki–Ricci solitons and their deformations
- How many torsionless affine connections exist in general dimension?
- A counterexample to the containment I(3) ⊂ I2 over the reals
- On the polyhedrality of global Okounkov bodies
- Extremum properties of lattice packing and covering with circles
- Simple crystallizations of 4-manifolds
- Sharply 2-transitive groups
