4 papers · 1 filter
Ricci Flow on CP1-bundles over a Product of Kähler-Einstein Manifolds
Frederick Tsz-Ho Fong, Hung Tran
In this paper, we study the Ricci flow on CP1-bundles over a product of Kähler-Einstein manifolds whose initial metric is constructed by the ansatz used in works by M. Wang et. al…
On Ricci Solitons with Isoparametric Potential Functions
Hung Tran, Kazuo Yamazaki
This paper studies a complete gradient Ricci soliton with an isoparametric potential function. Our first theorem asserts that, for the steady case, there is a critical level set of…
Geometry and Analysis of Gradient Ricci Solitons in Dimension Four
Xiaodong Cao, Hung Tran
[Dedicated to Richard S. Hamilton on forty years of Ricci flow] Gradient Ricci solitons have garnered significant attention both as self-similar solutions and singularity models of…
On isometry groups of gradient Ricci solitons
Ha Tuan Dung, Hung Tran
We give a result estimating the dimension of the Lie algebra of Killing vector fields on an irreducible non-trivial gradient Ricci soliton. Then we study the structure of this mani…