논문KCI 등재
Biharmonic Hypersurfaces with Constant Scalar Curvature in E5s
Biharmonic Hypersurfaces with Constant Scalar Curvature in E_{5}^{s}
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we obtain that everybiharmonic non-degenerate hypersurfaces in semi-Euclidean space$E_{s}^{5}$ with constant scalar curvature of diagonal shapeoperator has zero mean curvature.
Abstract
In this paper, we obtain that everybiharmonic non-degenerate hypersurfaces in semi-Euclidean space$E_{s}^{5}$ with constant scalar curvature of diagonal shapeoperator has zero mean curvature.
참고문헌 (23)
- A. Arvanitoyeorgos, "Biharmonic Lorentzian hypersurfaces in E41", Pac. J. Math., 229(2), pp.293~305 (2007)
- A. Balmus, "Biharmonic Maps and Submanifolds", PhD thesis, pp.2007
- A. Balmus, "Classification results for biharmonic submani-folds in spheres", Israel. J. Math., 168, pp.201~220 (2008)
- A. Balmus, "Classification results and new examples of proper biharmonic submanifolds in spheres", Note Mat., 1(1), pp.49~61 (2008)
- A. Balmus, "Properties of biharmonic submanifolds in spheres", J. Geom. Symmetry Phys, 17, pp.87~102 (2010)
- A. Balmus, "Biharmonic hypersurfaces in 4-dimensional space forms", Math. Nachr., 283(12), pp.1696~1705 (2010)
- B. Y. Chen, "Some open problems and conjectures on submanifolds of finite type", Soo-chow J. Math., 17(2), pp.169~188 (1991)
- B. Y. Chen, "Classification of marginally trapped Lorentzian at surfaces in E41 and its application to biharmonic surfaces", J. Math. Anal. Appl., 340, pp.861~875 (2008)
- B. Y. Chen, "Biharmonic surfaces in pseudo-Euclidean spaces", Mem. Fac. Sci. Kyushu Univ., A 45, pp.323~347 (1991)
- B. Y. Chen, "Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces", Kyushu J. Math., 52, pp.1~18 (1998)
- B. Y. Chen, "Biharmonic ideal hypersurfaces in Euclidean spaces", Differ. Geom. Appl., 31, pp.1~16 (2013)
- Deepika, Ram Shankar Gupta, "Biharmonic hypersurfaces in E5 with zero scalar cur-vature", Afr. Diaspora J. Math., 18(1), pp.12~26 (2015)
- F. Defever, "Biharmonic hypersurfaces of the 4-dimensional semi-Euclidean space E4s", J. Math. Anal. Appl., 315, pp.276~286 (2006)
- I. Dimitric, "Quadric representation and submanifolds of finite type", 박사, pp.1989
- I. Dimitric, "Submanifolds of Enwith harmonic mean curvature vector", Bull. Inst. Math. Acad. Sin, 20, pp.53~65 (1992)
- J. Eells, "Harmonic mappings of Riemannian manifolds", Amer. J. Math., 86, pp.109~160 (1964)
- K. Akutagawa, "Biharmonic properly immersed submanifolds in Euclidean spaces", Geom. Dedicate, 164, pp.351~355 (2013)
- R. Caddeo, "Biharmonic submanifolds of S3", Int. J. Math., 12(8), pp.867~876 (2001)
- R. Caddeo, "Biharmonic submanifolds in spheres", Israel J. Math., 130, pp.109~123 (2002)
- Ram Shankar Gupta, "On biharmonic hypersurfaces in Euclidean space of arbitrary dimension", Glasgow Math. J., 57, pp.633~642 (2015)
- Ram Shankar Gupta, "Biharmonic hypersurfaces in E5s", An. St. Univ. Al. I. Cuza
- T. Hasanis, "Hypersurfaces in E4 with harmonic mean curvature vector field", Math. Nachr., 172, pp.145~169 (1995)
- Yu Fu, "Biharmonic hypersurfaces with three distinct principal curvatures in the Eu-clidean 5-space", Journal of Geometry and Physics, 75, pp.113~119 (2014)
관련 논문AI추천
Biharmonic hypersurfaces with recurrent operators in the Euclidean spaceEsmaiel Abedi, Najma Mosadegh대한수학회 · 대한수학회보2022 · 제59권 제6호On the geometry of biconservative submanifolds in pseudo-Riemannian space formsLi Du, Tian Nie대한수학회 · 대한수학회보2025 · 제62권 제3호Hypersurfaces with constant $\boldsymbol{k}$-th mean curvature and two distinct principal curvatures in spheresJiancheng Liu, Yan Wei대한수학회 · 대한수학회보2012 · 제49권 제2호Biharmonic Submanifolds of Quaternionic Space FormsBouazza Kacimi, Mohammed Cherif경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제4호p-BIHARMONIC HYPERSURFACES IN EINSTEIN SPACE AND CONFORMALLY FLAT SPACEAhmed Mohammed Cherif, Khadidja Mouffoki대한수학회 · 대한수학회보2023 · 제60권 제3호On the f-biharmonic Maps and SubmanifoldsA. Mohamed cherif, Kaddour Zegga, Mustapha Djaa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호
이 간행물의 다른 논문 (23건)
Ternary Distributive Structures and QuandlesMatthew Green, Mohamed Elhamdadi, Abdenacer Makhloufpp. 1-27Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati MethodYutaka Shoukakupp. 29-40On Prime Cordial Labeling of GraphsAbdullah Aljouieepp. 41-46Dynamical Behaviors of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response백헌기, 최윤호pp. 47-55On Approximation by Matrix Means of the Multiple Fourier Series in the Holder MetricU~gur De~gerpp. 57-68
