A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities
Graph Chatbot
Chat with Graph Search
Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.
DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.
In this article, we study the problem (sometimes called the Berger-Nirenberg problem) of prescribing the curvature on a Riemann surface (that is on an oriented surface equipped with a conformal class of Riemannian metrics). ...
This chapter contains an introduction to triangle comparison theorems and it is proved that the fundamental group of a compact Riemannian manifold with negative sectional curvature is hyperbolic. ...
We study conditions under which a point of a Riemannian surface has a neighborhood that can be parametrized by polar coordinates. The point under investigation can be a regular point or a conical singularity. We also study the regularity of these polar coo ...
The dependence on the torsion H = dh of the Wess-Zumino couplings of D-branes that are trivially embedded in space-time is studied. We show that even in this simple set-up some torsion components can be turned on, with a non-trivial effect on the RR coupli ...
This Paper is an introduction to the study of an invariant of Riemannian manifolds related to the non-linear potential theory of the p-Laplacian and which is called its parabolic or hyperbolic type. One of our main focus is the relationship between the asy ...
The goal of this paper is to give an explicit analysis of the geodesic flow on the three dimensional Lie group SOL. In particular we describe its horizon. (The horizon of a riemannian manifold is a topological space parametrizing the asymptotic classes of ...
We prove in this paper that the equation Δpu+h=0 on a p- hyperbolic manifold M has a solution with p-integrable gradient for any bounded measurable function h:M→R with compact support. ...
In this paper, we prove that if f is a conformal map between two Riemannian surfaces, and if the curvature of the target is nonpositive and less than or equal to the curvature of the source, then the map is contracting. ...
We prove in this paper that the equation Deltapu+h=0 on a p-hyperbolic manifold M has a solution with p-integrable gradient for any bounded measurable function h : M -> R with compact support. ...
We present a complete string theory analysis of all mixed gauge, gravitational and target-space anomalies potentially arising in the simplest heterotic Z(N) orbifold models, with N odd and standard embedding. These anomalies turn out to be encoded in an el ...
