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Experimental Mathematics
Volumn 14, Issue 2, 2005, Pages 145-152
Discrete periodic geodesics in a surface
Author keywords

Curve straightening; Elastic energy; Geodesic curvature; Periodic geodesic; Sobolev gradient
Indexed keywords

EID: 27844475132     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2005.10128912     Document Type: Article
Times cited : (5)
References (17)
  • 1
    • 0002655234 scopus 로고
    • On the Existence of Closed Geodesics on Two-Spheres
    • V. Bangert. “On the Existence of Closed Geodesics on Two-Spheres.” Internat. J. Math. 4:1 (1993), 1–10.
    • (1993) Internat. J. Math , vol.4 , Issue.1 , pp. 1-10
    • Bangert, V.1
  • 4
    • 33751514484 scopus 로고
    • Geodesics on S2 and Periodic Points of Annulus Homeomorphisms
    • J. Franks. “Geodesics on S2 and Periodic Points of Annulus Homeomorphisms.” Invent. Math. 108:2 (1992), 403–418.
    • (1992) Invent. Math , vol.108 , Issue.2 , pp. 403-418
    • Franks, J.1
  • 5
    • 0038962192 scopus 로고
    • Deforming Curves on Convex Surfaces to Simple Closed Geodesics
    • M. E. Gage. “Deforming Curves on Convex Surfaces to Simple Closed Geodesics.” Indiana Univ. Math. J. 39 (1990), 1037–1059.
    • (1990) Indiana Univ. Math. J. , vol.39 , pp. 1037-1059
    • Gage, M.E.1
  • 6
    • 0002993003 scopus 로고
    • Shortening Embedded Curves
    • M. A. Grayson. “Shortening Embedded Curves.” Ann. of Math. 129 (1989), 71–111.
    • (1989) Ann. Of Math. , vol.129 , pp. 71-111
    • Grayson, M.A.1
  • 7
    • 84972507666 scopus 로고
    • The Total Squared Curvature of Closed Curves
    • J. Langer and D. A. Singer. “The Total Squared Curvature of Closed Curves.” J. Diff. Geom. 20 (1984), 1–22.
    • (1984) J. Diff. Geom. , vol.20 , pp. 1-22
    • Langer, J.1    Singer, D.A.2
  • 8
    • 0005579063 scopus 로고
    • Curve- Straightening in Riemannian Manifolds
    • J. Langer and D. A. Singer. “Curve- Straightening in Riemannian Manifolds.” Ann. Global Anal. Geom. 5 (1987), 133–150.
    • (1987) Ann. Global Anal. Geom. , vol.5 , pp. 133-150
    • Langer, J.1    Singer, D.A.2
  • 9
    • 0011491847 scopus 로고
    • Curve-Straightening in Closed Euclidean Submanifolds
    • A. Linnér. “Curve-Straightening in Closed Euclidean Submanifolds.” Commun. Math. Phys. 138 (1991), 33–49.
    • (1991) Commun. Math. Phys. , vol.138 , pp. 33-49
    • Linnér, A.1
  • 10
    • 22044434629 scopus 로고    scopus 로고
    • Curve-Straightening and the Palais- Smale Condition
    • A. Linnér. “Curve-Straightening and the Palais- Smale Condition.” Trans. Amer. Math. Soc. 350 9 (1998), 3743–3765.
    • (1998) Trans. Amer. Math. Soc. , vol.350 , Issue.9 , pp. 3743-3765
    • Linnér, A.1
  • 11
    • 0037365356 scopus 로고    scopus 로고
    • Symmetrized Curve-Straightening
    • A. Linnér. “Symmetrized Curve-Straightening.” Diff. Geo. Appl. 18 (2003), 119–146.
    • (2003) Diff. Geo. Appl. , vol.18 , pp. 119-146
    • Linnér, A.1
  • 12
    • 3543020936 scopus 로고    scopus 로고
    • Periodic Geodesics Generator
    • A. Linnér. “Periodic Geodesics Generator.” Experimental Mathematics 13:2 (2004), 199–213.
    • (2004) Experimental Mathematics , vol.13 , Issue.2 , pp. 199-213
    • Linnér, A.1
  • 13
    • 76349102779 scopus 로고    scopus 로고
    • Sobolev Gradients and Differential Equations
    • New York: Springer
    • J. W. Neuberger. Sobolev Gradients and Differential Equations. Lecture Notes in Mathematics, 1670. New York: Springer, 1997.
    • (1997) Lecture Notes in Mathematics , vol.1670
    • Neuberger, J.W.1
  • 15
    • 2442486949 scopus 로고    scopus 로고
    • Algorithm 828. DNSPLIN1: Discrete Nonlinear Spline Interpolation. ACM Trans
    • R. Renka. “Algorithm 828. DNSPLIN1: Discrete Nonlinear Spline Interpolation.” ACM Trans. Math. Softw. 29:4 (2003), 1–11.
    • (2003) Math. Softw , vol.29 , Issue.4 , pp. 1-11
    • Renka, R.1
  • 16
    • 0347899446 scopus 로고    scopus 로고
    • Constructing Fair Curves and Surfaces with a Sobolev Gradient Method
    • R. Renka. “Constructing Fair Curves and Surfaces with a Sobolev Gradient Method.” CAGD 21 (2004), 137–149.
    • (2004) CAGD , vol.21 , pp. 137-149
    • Renka, R.1
  • 17
    • 2942633657 scopus 로고    scopus 로고
    • Algorithm 834. Glsurf – An Interactive Surface Plotting Program using OpenGL
    • R. Renka. “Algorithm 834. glsurf – An Interactive Surface Plotting Program using OpenGL.” ACM Trans. Math. Softw. 30:2 (2004), 212–217.
    • (2004) ACM Trans. Math. Softw , vol.30 , Issue.2 , pp. 212-217
    • Renka, R.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.