Lectures on Elastic Curves and Rods
暂无分享,去创建一个
[1] M. Barros. Willmore tori in non-standard 3-spheres , 1997, Mathematical Proceedings of the Cambridge Philosophical Society.
[2] D. A. Singer,et al. A new flow on starlike curves in ℝ , 2002 .
[3] G. M.,et al. A Treatise on the Mathematical Theory of Elasticity , 1906, Nature.
[4] N. Koiso. Elasticae in a Riemannian submanifold , 1992 .
[5] B. M. Fulk. MATH , 1992 .
[6] Rong-pei Huang,et al. A NEW FLOW ON STARLIKE CURVES IN R , 2002 .
[7] Gerhard Dziuk,et al. Evolution of Elastic Curves in Rn: Existence and Computation , 2002, SIAM J. Math. Anal..
[8] H. Hasimoto,et al. A soliton on a vortex filament , 1972, Journal of Fluid Mechanics.
[9] V. Jurdjevic. Integrable Hamiltonian Systems on Complex Lie Groups , 2005 .
[10] Su Buqing,et al. Affine differential geometry , 1983 .
[11] R. Palais. Critical point theory and the minimax principle , 1970 .
[12] U. Pinkall. Hamiltonian flows on the space of star-shaped curves , 1995 .
[13] Joel Langer,et al. Curves in the Hyperbolic Plane and mean Curvature of Tori in 3‐Space , 1984 .
[14] Anders Linnér,et al. Curve-straightening and the Palais-Smale condition , 1998 .
[15] Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres , 1999 .
[16] Yingzhong Wen,et al. Curve Straightening Flow Deforms Closed Plane Curves with Nonzero Rotation Number to Circles , 1995 .
[17] Joel Langer,et al. Lagrangian Aspects of the Kirchhoff Elastic Rod , 1996, SIAM Rev..
[18] Joel Langer,et al. Liouville integrability of geometric variational problems , 1994 .
[19] D. A. Singer,et al. Curve straightening and a minimax argument for closed elastic curves , 1985 .
[20] P. Griffiths,et al. Reduction for Constrained Variational Problems and κ 2 2 ds , 1986 .
[21] U. Pinkall. Hopf tori inS3 , 1985 .
[22] Anders Linnér,et al. Existence of free nonclosed Euler-Bernoulli elastica , 1993 .
[23] Anders Linnér,et al. Some properties of the curve straightening flow in the plane , 1989 .
[24] V. Jurdjevic. NON-EUCLIDEAN ELASTICA , 1995 .
[25] D. A. Singer,et al. Curve-straightening in Riemannian manifolds , 1987 .
[26] U. Pinkall. Hopf tori in S 3 , 2005 .
[27] Joel Langer,et al. Knotted Elastic Curves in R3 , 1984 .
[28] D. A. Singer,et al. Knot Types, Homotopies and Stability of Closed Elastic Rods , 1999, math/9901131.
[29] D. A. Singer,et al. The total squared curvature of closed curves , 1984 .
[30] Joel Langer,et al. KNOTTED ELASTIC CURVES IN IR 3 , 2006 .
[31] P. Byrd,et al. Handbook of Elliptic Integrals for Engineers and Physicists , 2014 .