논문KCI 등재
Harmonic and biharmonic maps on doubly twisted product manifolds
대한수학회 (The Korean Mathematical Society)|2018.01|대한수학회논문집 (Communications of the KMS)|제33권 제1호|pp. 273-291
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In this paper we investigate the geometry of doubly twisted product manifolds and we study the harmonicity and biharmonicity of maps between doubly twisted product Riemannian manifold. Also we characterize the conformal biharmonic maps and construct some new proper biharmonic maps.
Abstract
In this paper we investigate the geometry of doubly twisted product manifolds and we study the harmonicity and biharmonicity of maps between doubly twisted product Riemannian manifold. Also we characterize the conformal biharmonic maps and construct some new proper biharmonic maps.
참고문헌 (8)
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- Ahmed Mohamed Cherif, "Geometry of Energy and Bienergy Variations between Riemannian Manifolds", Kyungpook Mathematical Journal, 55(3), pp.715~730 (2015), 경북대학교 자연과학대학 수학과
- J. Eells, "Another report on harmonic maps", Bull. London Math. Soc., 20(5), pp.385~524 (1988)[DOI]
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- S. Ouakkas, "Biharmonic maps, conformal deformations and the Hopf maps", Differential Geom. Appl., 26(5), pp.495~502 (2008)[DOI]
- S. Ouakkas, "On the f-harmonic and f-biharmonic maps", JP J. Geom. Topol., 10(1), pp.11~27 (2010)
관련 논문AI추천
Biharmonic Maps on Doubly Warped Product ManifoldsKhaldia Madani, Seddik Ouakkas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호New Methods of Construction for Biharmonic MapsAhmed Mohammed Cherif, Aicha Benkartab경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호On the f-biharmonic Maps and SubmanifoldsA. Mohamed cherif, Kaddour Zegga, Mustapha Djaa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Harmonic maps and biharmonic maps on principal bundles and warped productsHajime Urakawa대한수학회 · 대한수학회지2018 · 제55권 제3호Geometry of (p, f)-bienergy variations between Riemannian manifoldsAhmed Mohammed Cherif, Embarka Remli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호Semi-conformal $L$-harmonic maps and Liouville type theoremAhmed Mohammed Cherif, Embarka Remli강원경기수학회 · 한국수학논문집2022 · 제30권 제1호
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