논문KCI 등재
Biharmonic Legendre curves in Sasakian space forms
1
조회
0
다운로드
3
인용
0
참고문헌
키워드
주제분류수학
초록
Biharmonic Legendre curves in a Sasakian space form are studied. A non-existence result in a 7-dimensional 3-Sasakian manifold is obtained. Explicit formulas for some biharmonic Legendre curves in the 7-sphere are given.
Abstract
Biharmonic Legendre curves in a Sasakian space form are studied. A non-existence result in a 7-dimensional 3-Sasakian manifold is obtained. Explicit formulas for some biharmonic Legendre curves in the 7-sphere are given.
참고문헌 (18)
- C. Baikoussis, "On the geometry of the 7-sphere", Results in Mathematics, 27(1), pp.5~16 (1995)
- C. Baikoussis, "Integral submanifolds of Sasakian space forms M7", Results in Mathematics, 27(3), pp.207~226 (1995)
- D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics", pp.203~ (2002), Birkhauser Boston, Inc.
- R. Caddeo, "Biharmonic submanifolds in spheres", Israel Journal of Mathematics, 130, pp.109~123 (2002)
- J. T. Cho, "Biharmonic curves in 3-dimensional Sasakian space forms", Annali di Matematica Pura ed Applicata
- J. Eells, "Selected Topics in Harmonic Maps, CBMS Regional Conference Series in Mathematics", Published for the Conference Board of the Mathematical Sciences, pp.50~ (1983), American Mathematical Society
- N. Ekmekci, "Biharmonic general helices in contact and Sasakian manifolds", Tensor (N.S.), 65(2), pp.103~108 (2004)
- D. Fetcu, "Biharmonic curves in the generalized Heisenberg group", Beitrage zur Algebra und Geometrie, 46(2), pp.513~521 (2005)
- J. Inoguchi, "Submanifolds with harmonic mean curvature vector field in contact 3-manifolds", Colloqium Mathematicum, 100(2), pp.163~179 (2004)
- G. Y. Jiang, "2-harmonic maps and their first and second variational formulas", Chinese Annals of Mathematics Series A, 7(4), pp.389~402 (1986)
- Y.-Y. Kuo, "On almost contact 3-structure", Tohoku Mathematical Journal, 22(2), pp.325~332 (1970)
- S. Montaldo, "A short survey on biharmonic maps between riemannian manifolds", Revista de la Unión Matemática Argentina, 47(2), pp.1~22 (2006)
- V. Oproiu, "Some results on harmonic sections of cotangent bundles", Analele Stiintfice ale Universitatii “Al. I. Cuza” din Iasi Serie Noua Matematica (N.S.), 45(2), pp.275~290 (1999)
- T. Sasahara, "Legendre surfaces whose mean curvature vectors are eigenvectors of the Laplace operator", Note Mathematics, 22(1), pp.49~58 (2003)
- T. Sasahara, "Legendre surfaces in Sasakian space forms whose mean curvature vectors are eigenvectors", Publicationes Mathematicae Debrecen, 67(3), pp.285~303 (2005)
- S. Tanno, "The topology of contact Riemannian manifolds", Illinois Journal of Mathematics, 12, pp.700~717 (1968)
- S. Tanno, "Killing vectors on contact Riemannian manifolds and fiberings related to the Hopf fibrations", Tohoku Mathematical Journal, 23(2), pp.313~333 (1971)
- H. Urakawa, "Calculus of Variations and Harmonic Maps, Translated from the 1990 Japanese original by the author. Translations of Mathematical Monographs", pp.132~ (1993), American Mathematical Society
관련 논문AI추천
Pseudohermitian Legendre surfaces of Sasakian space forms이지은대한수학회 · 대한수학회논문집2015 · 제30권 제4호On slant curves in $S$-manifoldsCihan Ozgur, Saban Guvenc대한수학회 · 대한수학회논문집2018 · 제33권 제1호Biharmonic curves in $3$-dimensional Lorentzian Sasakian space forms이지은대한수학회 · 대한수학회논문집2020 · 제35권 제3호Biharmonic Submanifolds of Quaternionic Space FormsBouazza Kacimi, Mohammed Cherif경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제4호Clairaut Anti-Invariant Riemannian Maps to Sasakian ManifoldsAdeeba Zaidi, Gauree Shanker, Md Nadim Zafar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제65권 제2호Some special curves in three dimensional f-Kenmotsu manifoldsAbhijit Biswas, Pradip Majhi한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제2호
이 간행물의 다른 논문 (19건)
Linear preservers of spanning column rank of matrix sums over semirings송석준pp. 301-312Schatten's theorem on absolute Schur algebrasPachara Chaisuriya, Jitti Rakbudpp. 313-329On some new nonlinear retarded integral inequalities with iterated integrals and their applicationsQing-Hua Ma, Josip Pecaricpp. 331-353Complete moment convergence of moving average processes with dependent innovations김태성, 최용갑, 고미화pp. 355-365DIAGONAL LIFTS OF TENSOR FIELDS OF TYPE (1, 1) ON CROSS-SECTIONS IN TENSOR BUNDLES AND ITS APPLICATIONSArif Salimov, Aydin Gezerpp. 367-376
