Generalized Chen's conjecture for biharmonic maps on foliations
Xueshan Fu, Seoung Dal Jung
TL;DR
This paper proves the generalized Chen's conjecture for (F,F')-biharmonic maps, establishing new theoretical results in the study of biharmonic maps on foliations.
Contribution
It introduces a proof of the generalized Chen's conjecture specifically for (F,F')-biharmonic maps, expanding the understanding of biharmonic maps in foliation theory.
Findings
Proof of the generalized Chen's conjecture for (F,F')-biharmonic maps
Advancement in the theory of biharmonic maps on foliations
New insights into the critical points of the transversal bienergy functional
Abstract
In this paper, we prove the generalized Chen's conjecture for (F,F')-biharmonic map, which is a critical point of the transversal bienergy functional
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology