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This tag is used if a reference is needed in a paper or textbook on a specific result.

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Is there more than one closed geodesic on $S^3$?

I think the recent work by Huagui Duan and Yiming Long http://arxiv.org/abs/1008.1458 showed the existence of at least two closed geodesics.
Guangbo Xu's user avatar
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4 votes
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94 views

Laplacian Spectra on Nearly Nodal Riemann Surfaces

Consider a family of complex curves ${\mathcal C} \to {\mathbb D}$ such that the central fibre is a nodal Riemann surface while other fibres are smooth Riemann surfaces. We choose a family of conforma …
Guangbo Xu's user avatar
  • 1,207
3 votes
0 answers
679 views

Transversality and isolated degenerate critical points

Maybe some of the following statements are not precise. Please correct them. Let $M$ be a compact smooth manifold. Let $f: M \to {\mathbb R}$ be a Morse function. Then a generic Riemannian metric $g$ …
Guangbo Xu's user avatar
  • 1,207