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This tag is used if a reference is needed in a paper or textbook on a specific result.
5
votes
Accepted
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.
4
votes
0
answers
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 …
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 $g$ …