We study the asymptotic behavior of curvature and prove that the integral of curvature along a geodesic without conjugate points is nonpositive and some generalizations of Myers theorem and Cohn-Vossen's theorem. Some applications are also given
AbstractWe consider the relations between the Busemann function and the distance function of an open...
In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of...
Abstract. We introduce a new definition of nonpositive curvature in metric spaces and study its rela...
presented by Manfredo do Carmo We study the asymptotic behavior of curvature and prove that the inte...
Let Wn be a C∞ complete, simply connected n-dimensional Riemannian manifold without conjugate points...
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principa...
We discuss a few of the metrics that are used in complex analysis and potential theory, including t...
Abstract. We discuss a few of the metrics that are used in complex analysis and potential theory, in...
For a non-compact, complete and simply connected manifold M without conjugate points, we prove that ...
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
Abstract. For a non-compact, complete and simply connected manifold M without conjugate points, we p...
An asymptotic curve on a surface in a three-dimensional Euclidean or projective space is an integral...
Abstract. We investigate the asymptotic behavior of curvatures of the Weil-Petersson metric in Teich...
International audienceWe prove that any asymptotically Euclidean metric on R n with no conjugate poi...
On the geodesic flow of tori without conjugate points. - In: Mathematische Zeitschrift. 216. 1994. S...
AbstractWe consider the relations between the Busemann function and the distance function of an open...
In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of...
Abstract. We introduce a new definition of nonpositive curvature in metric spaces and study its rela...
presented by Manfredo do Carmo We study the asymptotic behavior of curvature and prove that the inte...
Let Wn be a C∞ complete, simply connected n-dimensional Riemannian manifold without conjugate points...
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principa...
We discuss a few of the metrics that are used in complex analysis and potential theory, including t...
Abstract. We discuss a few of the metrics that are used in complex analysis and potential theory, in...
For a non-compact, complete and simply connected manifold M without conjugate points, we prove that ...
We study geodesics on surfaces in the setting of classical differential geometry. We define the curv...
Abstract. For a non-compact, complete and simply connected manifold M without conjugate points, we p...
An asymptotic curve on a surface in a three-dimensional Euclidean or projective space is an integral...
Abstract. We investigate the asymptotic behavior of curvatures of the Weil-Petersson metric in Teich...
International audienceWe prove that any asymptotically Euclidean metric on R n with no conjugate poi...
On the geodesic flow of tori without conjugate points. - In: Mathematische Zeitschrift. 216. 1994. S...
AbstractWe consider the relations between the Busemann function and the distance function of an open...
In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of...
Abstract. We introduce a new definition of nonpositive curvature in metric spaces and study its rela...