A note on constant geodesic curvature curves on surfaces

Taoniu Sun

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 5, page 1569-1584
  • ISSN: 0294-1449

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Sun, Taoniu. "A note on constant geodesic curvature curves on surfaces." Annales de l'I.H.P. Analyse non linéaire 26.5 (2009): 1569-1584. <http://eudml.org/doc/78903>.

@article{Sun2009,
author = {Sun, Taoniu},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {constant geodesic curvature; critical point; Gauss curvature},
language = {eng},
number = {5},
pages = {1569-1584},
publisher = {Elsevier},
title = {A note on constant geodesic curvature curves on surfaces},
url = {http://eudml.org/doc/78903},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Sun, Taoniu
TI - A note on constant geodesic curvature curves on surfaces
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 5
SP - 1569
EP - 1584
LA - eng
KW - constant geodesic curvature; critical point; Gauss curvature
UR - http://eudml.org/doc/78903
ER -

References

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  1. [1] do Carmo M., Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976. Zbl0326.53001MR394451
  2. [2] Druet O., Sharp local isoperimetric inequalities involving the scalar curvature, Proc. Amer. Math. Soc.130 (8) (2002) 2351-2361. Zbl1067.53026MR1897460
  3. [3] F. Pacard, X. Xu, Constant mean curvature spheres in Riemannian manifolds, preprint, 2007. Zbl1165.53038MR2481045
  4. [4] Peng C.K., Chen Q., Differential Geometry, Higher Education Press, 2002. 
  5. [5] Ritoré M., Ros A., The space of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds, Trans. Amer. Math. Soc.348 (1) (January 1996). Zbl0867.53007MR1322955
  6. [6] Rosenberg H., Constant mean curvature surfaces in homogeneously regular 3-manifolds, Bull. Austral. Math. Soc.74 (2) (2006) 227-238. Zbl1104.53057MR2260491
  7. [7] Schoen R., Yau S.T., Lectures on Differential Geometry, International Press, 1994. Zbl0830.53001MR1333601
  8. [8] Willmore T.J., Riemannian Geometry, Oxford Univ. Press, NY, 1993. Zbl0797.53002MR1261641
  9. [9] Ye R., Foliation by constant mean curvature spheres, Pacific J. Math.147 (2) (1991) 381-396. Zbl0722.53022MR1084717

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