논문KCI 등재
New Methods of Construction for Biharmonic Maps
경북대학교 자연과학대학 수학과|2019.03|Kyungpook Mathematical Journal|제59권 제1호|pp. 135-147|DOI 10.5666/KMJ.2019.59.1.135
2
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we study some properties of Riemannian manifolds, we construct a new example of non-harmonic biharmonic maps, and we characterize the biharmonicity of some curves on Riemannian manifolds.
Abstract
In this paper we study some properties of Riemannian manifolds, we construct a new example of non-harmonic biharmonic maps, and we characterize the biharmonicity of some curves on Riemannian manifolds.
참고문헌 (8)
- P. Baird, "On constructing biharmonic maps and metrics", Ann. Global Anal. Geom, 23(1), pp.65~75 (2003)
- P. Baird, "Harmonic morphisms between Riemannain manifolds" (2003), Clarendon Press
- R. Caddeo, "Biharmonic submanifolds of S3", Int. J. Math, 12, pp.867~876 (2001)
- J. Eells, "Harmonic mappings of Riemannian manifolds", Amer. J. Math, 86, pp.109~160 (1964)
- G. Y. Jiang, "2-harmonic maps and their first and second variational formulas", Chinese Ann. Math. Ser. A, 7(4), pp.389~402 (1986)
- B. O'Neil, "Semi-Riemannian geometry" (1983), Academic Press
- T. Sakai, "Riemannian geometry" (1992), Shokabo
- Y. Xin, "Geometry of harmonic maps", pp.1996
관련 논문AI추천
Biharmonic Maps on Doubly Warped Product ManifoldsKhaldia Madani, Seddik Ouakkas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호On the f-biharmonic Maps and SubmanifoldsA. Mohamed cherif, Kaddour Zegga, Mustapha Djaa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Harmonic and biharmonic maps on doubly twisted product manifoldsAbdelhamid Boulal, Mustapha Djaa, Seddik Ouakkas대한수학회 · 대한수학회논문집2018 · 제33권 제1호Some results on the geometry of a non-conformal deformation of a metricAbderrahim Zagane, Nour Elhouda Djaa대한수학회 · 대한수학회논문집2022 · 제37권 제3호Geometry of (p, f)-bienergy variations between Riemannian manifoldsAhmed Mohammed Cherif, Embarka Remli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호Biharmonic Submanifolds of Quaternionic Space FormsBouazza Kacimi, Mohammed Cherif경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제4호
이 간행물의 다른 논문 (14건)
Study of Generalized Derivations in Rings with InvolutionAdnan Abbasi, Muzibur Rahman Mozumder, Nadeem Ahmad Darpp. 1-11On a Symbolic Method for Fully Inhomogeneous Boundary Value ProblemsSrinivasarao Thotapp. 13-22New Approach to Pell and Pell-Lucas SequencesTulay Yagmurpp. 23-34On Regular Γ-semihyperrings and Idempotent Γ-semihyperringsJitendra Jaysing Patil, Kishor Fakira Pawarpp. 35-45A Note on Spliced Sequences and A-density of Points with respect to a Non-negative MatrixSayan Sengupta, Kumardipta Bosepp. 47-63