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Semi-conformal $L$-harmonic maps and Liouville type theorem

Ahmed Mohammed Cherif|Embarka Remli
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.03|한국수학논문집 (Korean Journal of Mathematics)|제30권 제1호|pp. 121-130

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참고문헌

키워드

Liouville Theorem.$L$-harmonic mapssemi-conformal maps
주제분류수학

초록

In this paper, we prove that every semi-conformal harmonic map between Riemannian manifolds is $L$-harmonic map. We also prove a Liouville type theorem for $L$-harmonic maps.

Abstract

In this paper, we prove that every semi-conformal harmonic map between Riemannian manifolds is $L$-harmonic map. We also prove a Liouville type theorem for $L$-harmonic maps.

참고문헌 (14)

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  10. A. Mohammed Cherif, "On Generalized Conformal Maps", Bulletin of Mathematical Analysis and Applications, 4(4), pp.99~108 (2012)
  11. M. Rimoldi, "f-Harmonic Maps and Applications to Gradient Ricci Solitons", arXiv:1112.3637, ~ (2011)
  12. R. M. Schoen, "Harmonic Maps and the Topology of Stable Hypersurfaces and Manifolds with Non-negative Ricci Curvature", Comment. Math. Helv, 51(3), pp.333~341 (1976)
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관련 논문AI추천

On the Generalized of p-harmonic and f-harmonic MapsAhmed Mohammed Cherif, Embarka Remli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제1호LIOUVILLE TYPE THEOREMS FOR TRANSVERSALLY HARMONIC AND BIHARMONIC MAPS정민주, 정승달대한수학회 · 대한수학회지2017 · 제54권 제3호A monotonicity formula and a Liouville type theorem of $V$-harmonic mapsGuangwen Zhao대한수학회 · 대한수학회보2019 · 제56권 제5호Some results on stable $f$-harmonic mapsAhmed Mohammed Cherif, Remli Embarka대한수학회 · 대한수학회논문집2018 · 제33권 제3호Geometry of (p, f)-bienergy variations between Riemannian manifoldsAhmed Mohammed Cherif, Embarka Remli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호Liouville theorems for $F$-harmonic maps with potentialYan Wang대한수학회 · 대한수학회보2025 · 제62권 제5호

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