L2-transverse conformal Killing forms on complete foliated manifolds
Seoung Dal Jung, Huili Liu
TL;DR
This paper investigates L2-transverse conformal Killing forms on complete foliated Riemannian and Kahler manifolds, establishing vanishing theorems and exploring their properties in these geometric contexts.
Contribution
It introduces new vanishing theorems for L2-transverse conformal Killing forms on complete foliated and Kahler foliated manifolds, expanding understanding of their geometric structure.
Findings
Vanishing theorems for L2-transverse conformal Killing forms.
Results on Kahler foliations with complete bundle-like metrics.
Extension of properties to complete foliated Riemannian manifolds.
Abstract
In this article, we study the L2-transverse conformal Killing forms on complete foliated Riemannian manifolds and prove some vanishing theorems. Also, we study the same problems on Kahler foliations with a complete bundle-like metric.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Point processes and geometric inequalities