지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Elastica is known as classical curve that is a solution of variational problem, which minimize a thin inextensible wire's bending energy. Studies on elastica has been conducted in Euclidean space firstly, then it has been extended to Riemannian manifold by giving different characterizations. In this paper, we focus on energy of the elastic curve in a Lie group. We attepmt to compute its energy by using geometric description of the curvature and the torsion of the trajectory of the elastic curve of the trajectory of the moving particle in the Lie group. Finally, we also investigate the relation between energy of the elastic curve and energy of the same curve in Frenet vector fields in the Lie group.
목차
등록된 정보가 없습니다.
참고문헌 (25)
참고문헌 신청
G. Altay / 2015 / Translation surfaces Generated by Manheim Curves in Three Dimensional Euclidean Space / Gen. Math Notes 26:28~34
A. Altin / 2011 / On the energy and Pseduoangle of Frenet Vector Fields in Rn v / Ukrainian Math. Journal 63:969~976
V.I. Arnold / 1966 / Sur la g eom etrie diff erentielle des groupes de Lie de dimension infinie et ses applications a l'hydrodynamique des uides parfaits / Ann. Inst. Fourier Grenoble 16:319~361
E. Bretin / 2011 / Regularization of discrete contour by Willmore energy / Journal of Mathematical Imaging and Vision 40:214~229
E. Catmull / 1978 / Recursively generated b-spline surfaces on arbitrary topological surfaces / Computer-Aided Design 10:350~355
A. Altin / 2011 / On the energy and Pseduoangle of Frenet Vector Fields in Rn v / Ukrainian Math. Journal 63:969~976
V.I. Arnold / 1966 / Sur la g eom etrie diff erentielle des groupes de Lie de dimension infinie et ses applications a l'hydrodynamique des uides parfaits / Ann. Inst. Fourier Grenoble 16:319~361
E. Bretin / 2011 / Regularization of discrete contour by Willmore energy / Journal of Mathematical Imaging and Vision 40:214~229
E. Catmull / 1978 / Recursively generated b-spline surfaces on arbitrary topological surfaces / Computer-Aided Design 10:350~355
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
ENERGY ON A PARTICLE IN DYNAMICAL AND ELECTRODYNAMICAL FORCE FIELDS IN LIE GROUPS
호남수학학술지
2018 .01
-
SMARANDACHE CURVES OF SOME SPECIAL CURVES IN THE GALILEAN 3-SPACE
호남수학학술지
2015 .01
-
VISUAL CURVATURE FOR SPACE CURVES
호남수학학술지
2015 .01
-
SOME INTEGRAL CURVES ASSOCIATED WITH A TIMELIKE FRENET CURVE IN MINKOWSKI 3-SPACE
호남수학학술지
2017 .01
-
RIEMANNIAN SUBMERSIONS OF SO0(2, 1)
대한수학회지
2021 .11
-
ON THE SHAPE OF MAXIMUM CURVE OF e<sup>az<sup>2</sup>+bz+c</sup>
Journal of applied mathematics & informatics
2017 .01
-
Curves orthogonal to a vector field in Euclidean spaces
대한수학회지
2021 .11
-
Ruled surfaces generated by Salkowski curve and its Frenet vectors in Euclidean 3-space
한국수학논문집
2024 .06
-
Directional associated curves of a null curve in Minkowski 3-space
대한수학회보
2015 .01
-
Associated curves of charged particle moving with the effect of magnetic field
대한수학회논문집
2023 .04
-
HYPERELASTIC LIE QUADRATICS
호남수학학술지
2019 .01
-
On slant curves in $S$-manifolds
대한수학회논문집
2018 .01
-
NORMAL SECTION CURVES AND CURVATURES
호남수학학술지
2017 .01
-
Different characterizations of curvature in the context of Lie algebroids
대한수학회지
2024 .09
-
A non-Newtonian approach in differential geometry of curves: multiplicative rectifying curves
대한수학회보
2024 .05
-
A Fixed Point Approach to the Stability of 3-Lie Homomorphisms and 3-Lie Derivations
순수 및 응용수학
2019 .01
-
HARMONIC CURVATURE FUNCTIONS OF SOME SPECIAL CURVES IN GALILEAN 3-SPACE
호남수학학술지
2019 .01
-
ON TIMELIKE BERTRAND CURVES IN MINKOWSKI 3-SPACE
호남수학학술지
2016 .01
-
ENGEL'S AND LIE'S THEOREMS FOR LIE ALGEBRA BUNDLES
Advanced Studies in Contemporary Mathematics
2021 .01
-
INVOLUTE CURVES OF ORDER k OF A GIVEN CURVE IN GALILEAN 4-SPACE G<sub>4</sub>
호남수학학술지
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0