Add to ORKGUsing a ramified cover of the two-sphere by the torus, we prove a local optimal inequality between the diastole and the area on the two-sphere near a singular metric. This singular metric, made of two equilateral triangles glued along their boundary, has been conjectured by E. Calabi to achieve the best ratio area over the square of the length of a shortest closed geodesic. Our diastolic inequality asserts that this conjecture is to some extent locally true
We construct a counterexample to a conjectured inequality L ≤ 2D, relating the diameter D and the le...
We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-m...
Abstract. Let M be a Riemannian manifold homeomorphic to S2. The pur-pose of this paper is to establ...
Abstract. We prove a new type of universal inequality between the diastole, defined using a minimax ...
Recently, F. Balacheff [Ba] proved that the Calabi-Croke sphere made of two flat 1-unit-side equilat...
A. – We prove a universal inequality between the diastole, defined using a minimax process on the on...
A systolic inequality on a closed manifold M of dimension n is an inequality of the formDOLLARsys n ...
We study the systolic area (defined as the ratio of the area over the square of the systole) of the ...
12 pagesWe study the systolic area (defined as the ratio of the area over the square of the systole)...
In 1949, C. Loewner proved in an unpublished work that the two-torus T satisfies an optimal systolic...
In 1949, C. Loewner proved in an unpublished work that the two-torus T satisfies an optimal systolic...
We show that the total area of two distinct Gaussian curvature 1 surfaces with the same conformal fa...
Abstract. In this paper we will present upper bounds for the length of a shortest closed geodesic on...
Abstract. We prove an optimal systolic inequality for CAT(0) metrics on a genus 2 surface. We use a ...
The first paper in systolic geometry was published by Loewner’s student P. M. Pu over half a century...
We construct a counterexample to a conjectured inequality L ≤ 2D, relating the diameter D and the le...
We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-m...
Abstract. Let M be a Riemannian manifold homeomorphic to S2. The pur-pose of this paper is to establ...
Abstract. We prove a new type of universal inequality between the diastole, defined using a minimax ...
Recently, F. Balacheff [Ba] proved that the Calabi-Croke sphere made of two flat 1-unit-side equilat...
A. – We prove a universal inequality between the diastole, defined using a minimax process on the on...
A systolic inequality on a closed manifold M of dimension n is an inequality of the formDOLLARsys n ...
We study the systolic area (defined as the ratio of the area over the square of the systole) of the ...
12 pagesWe study the systolic area (defined as the ratio of the area over the square of the systole)...
In 1949, C. Loewner proved in an unpublished work that the two-torus T satisfies an optimal systolic...
In 1949, C. Loewner proved in an unpublished work that the two-torus T satisfies an optimal systolic...
We show that the total area of two distinct Gaussian curvature 1 surfaces with the same conformal fa...
Abstract. In this paper we will present upper bounds for the length of a shortest closed geodesic on...
Abstract. We prove an optimal systolic inequality for CAT(0) metrics on a genus 2 surface. We use a ...
The first paper in systolic geometry was published by Loewner’s student P. M. Pu over half a century...
We construct a counterexample to a conjectured inequality L ≤ 2D, relating the diameter D and the le...
We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-m...
Abstract. Let M be a Riemannian manifold homeomorphic to S2. The pur-pose of this paper is to establ...