Kähler–Ricci flow on blowups along submanifolds
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01878-5
Abstract: In this short note, we study the behavior of Kaher-Ricci flow on Kahler manifolds which contract divisors to smooth submanifolds. We show that the Kahler potentials are Holder continuous and the flow converges sequentially in… read more here.
Keywords: ricci flow; flow blowups; blowups along; hler ricci ... See more keywords
Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants
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DOI: 10.1016/j.jfa.2022.109400
Abstract: We show that a Kähler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequence of relative anticanonically balanced metrics, also called quantized Kähler-Ricci solitons. The proof uses an equivariant version of… read more here.
Keywords: ricci solitons; quantized futaki; balanced metrics; hler ... See more keywords
Transverse Kähler-Ricci Solitons of Five-Dimensional Sasaki-Einstein Spaces Yp, q and T1, 1
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DOI: 10.3390/sym12030330
Abstract: We investigate the deformations of the Sasaki–Einstein structures of the five-dimensional spaces T 1 , 1 and Y p , q by exploiting the transverse structure of the Sasaki manifolds. We consider local deformations of… read more here.
Keywords: transverse hler; five dimensional; sasaki einstein; hler ricci ... See more keywords