We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
The collapsing rate of the Kähler-Ricci flow with regular infinite time singularity.
- Authors
Fong, Frederick Tsz-Ho; Zhang, Zhou
- Abstract
We study the collapsing behavior of the Kähler-Ricci flow on a compact Kähler manifold X admitting a holomorphic submersion inherited from its canonical bundle, where Σ is a Kähler manifold with . We show that the flow metric degenerates at exactly the rate of as predicted by the cohomology information, and so the fibres , collapse at the optimal rate . Consequently, it leads to some analytic and geometric extensions to the regular case of works by J. Song and G. Tian. Its applicability to general Calabi-Yau fibrations will also be discussed in local settings.
- Subjects
MANIFOLDS (Mathematics); MILNOR fibration; MATHEMATICAL singularities; COHOMOLOGY theory; MATHEMATICS
- Publication
Journal für die Reine und Angewandte Mathematik, 2015, Vol 2015, Issue 703, p95
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/crelle-2013-0043