Calabi flow on projective bundles, I
Hongnian Huang

TL;DR
This paper studies the Calabi flow on projective bundles with generalized Calabi constructions, providing important a-priori estimates that advance understanding of geometric evolution in complex differential geometry.
Contribution
It introduces new a-priori estimates for the Calabi flow on a class of complex manifolds, expanding the analytical tools available for geometric flow analysis.
Findings
Derived several key a-priori estimates for the Calabi flow.
Enhanced understanding of the behavior of Calabi flow on projective bundles.
Provided foundational results for future research in geometric analysis.
Abstract
In this paper, we obtain several a-priori estimates for the Calabi flow on projective bundles admitting the generalized Calabi constructions.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry
