We study ¿flat knot types¿ of geodesics on compact surfaces M2. For every flat knot type and any Riemannian metric g we introduce a Conley index associated with the curve shortening flow on the space of immersed curves on M2. We conclude existence of closed geodesics with prescribed flat knot types, provided the associated Conley index is nontrivial
Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on ...
We prove that a complete non-compact surface contains a domain which is isometric to a pipe cylinder...
In this paper, we studied some properties of geodesic on some open surfaces: Hyperboloid, Paraboloid...
The three geodesics theorem of Lusternik and Schnirelmann asserts that for every Riemannian metric o...
The three geodesics theorem of Lusternik and Schnirelmann asserts that for every Riemannian metric o...
The curve graph, g, associated to a compact surface Sigma is the 1-skeleton of the curve complex def...
Abstract. The geometry of a space curve is described in terms of a Euclidean invariant frame field, ...
32 pages, 11 figuresWe prove several results concerning the existence of surfaces of section for the...
http://www.computer.org/Constrictions on a surface are defined as simple closed curves whose length ...
http://www.computer.org/Constrictions on a surface are defined as simple closed curves whose length ...
The leitmotif of this dissertation is the search for length formulas and sharp constants in relation...
In this paper, we study the curve shortening flow (CSF) on Riemann surfaces. We generalize Huisken's...
We formulate a uniqueness conjecture for curve shortening flow of proper curves on certain symmetric...
The three geodesics theorem of Lusternik and Schnirelmann asserts that for every Riemannian metric o...
International audienceThis paper provides a curvature-based algorithm to compute locally shortest ge...
Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on ...
We prove that a complete non-compact surface contains a domain which is isometric to a pipe cylinder...
In this paper, we studied some properties of geodesic on some open surfaces: Hyperboloid, Paraboloid...
The three geodesics theorem of Lusternik and Schnirelmann asserts that for every Riemannian metric o...
The three geodesics theorem of Lusternik and Schnirelmann asserts that for every Riemannian metric o...
The curve graph, g, associated to a compact surface Sigma is the 1-skeleton of the curve complex def...
Abstract. The geometry of a space curve is described in terms of a Euclidean invariant frame field, ...
32 pages, 11 figuresWe prove several results concerning the existence of surfaces of section for the...
http://www.computer.org/Constrictions on a surface are defined as simple closed curves whose length ...
http://www.computer.org/Constrictions on a surface are defined as simple closed curves whose length ...
The leitmotif of this dissertation is the search for length formulas and sharp constants in relation...
In this paper, we study the curve shortening flow (CSF) on Riemann surfaces. We generalize Huisken's...
We formulate a uniqueness conjecture for curve shortening flow of proper curves on certain symmetric...
The three geodesics theorem of Lusternik and Schnirelmann asserts that for every Riemannian metric o...
International audienceThis paper provides a curvature-based algorithm to compute locally shortest ge...
Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on ...
We prove that a complete non-compact surface contains a domain which is isometric to a pipe cylinder...
In this paper, we studied some properties of geodesic on some open surfaces: Hyperboloid, Paraboloid...