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Generalized Chen’s Conjecture for Biharmonic Maps on Foliations

정승달|Xueshan Fu
경북대학교 자연과학대학 수학과|2023.12|Kyungpook Mathematical Journal|제63권 제4호|pp. 593-610|DOI https://doi.org/10.5666/KMJ.2023.63.4.593

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참고문헌

키워드

Riemannian foliation(FTransversally harmonic mapTransversally biharmonic mapF')-harmonic mapF')-biharmonic mapGeneralized Chen’s conjectur
주제분류수학

초록

In this paper, we prove the generalized Chen’s conjecture for (F, F')-biharmonic maps, such maps are critical points of the transversal bienergy functional.

Abstract

In this paper, we prove the generalized Chen’s conjecture for (F, F')-biharmonic maps, such maps are critical points of the transversal bienergy functional.

참고문헌 (26)

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관련 논문AI추천

LIOUVILLE TYPE THEOREMS FOR TRANSVERSALLY HARMONIC AND BIHARMONIC MAPS정민주, 정승달대한수학회 · 대한수학회지2017 · 제54권 제3호On transversally harmonic maps of foliated Riemannian manifolds정민주, 정승달대한수학회 · 대한수학회지2012 · 제49권 제5호Harmonic maps on weighted Riemannian foliations정승달, Jinhua Qian, Xueshan Fu대한수학회 · 대한수학회지2025 · 제62권 제2호Some results of f-biharmonic maps into a Riemannian manifold of non-positive sectional curvatureGuoqing He, Jing Li, Peibiao Zhao대한수학회 · 대한수학회보2017 · 제54권 제6호SOME RESULTS OF p-BIHARMONIC MAPS INTO A NON-POSITIVELY CURVED MANIFOLDWei Zhang, Yingbo Han대한수학회 · 대한수학회지2015 · 제52권 제5호Semi-conformal $L$-harmonic maps and Liouville type theoremAhmed Mohammed Cherif, Embarka Remli강원경기수학회 · 한국수학논문집2022 · 제30권 제1호

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