논문KCI 등재
Biharmonic Submanifolds of Quaternionic Space Forms
경북대학교 자연과학대학 수학과|2019.12|Kyungpook Mathematical Journal|제59권 제4호|pp. 771-781|DOI 10.5666/KMJ.2019.59.4.771
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In this paper, we consider biharmonic submanifolds of a quaternionic space form. We give the necessary and su cient conditions for a submanifold to be biharmonic in a quaternionic space form, we study di erent particular cases for which we obtain some non-existence results and curvature estimates.
Abstract
In this paper, we consider biharmonic submanifolds of a quaternionic space form. We give the necessary and su cient conditions for a submanifold to be biharmonic in a quaternionic space form, we study di erent particular cases for which we obtain some non-existence results and curvature estimates.
참고문헌 (9)
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- B. -Y. Chen, "Totally umbilical submanifolds of quaternion-space-forms", J. Austral. Math. Soc. Ser. A, 26, pp.154~162 (1978)
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- D. Fetcu, "Biharmonic submanifolds of CPn", Math. Z, 266, pp.505~531 (2010)
- D. Fetcu., "Explicit formulas for biharmonic submanifolds in Sasakian space forms", Pac. J. Math, 240(1), pp.85~107 (2009)
- T. Ichiyama, "Classifications and isolation phenomena of bi-harmonic maps and bi-Yang-Mills fields", Note Mat, 30(2), pp.15~48 (2010)
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