The ultimate goal is to prove the Hadamard–Cartan theorem on the diffeomorphic character of the exponential mapping in Riemannian manifolds with nonpositive sectional curvature. By considering curves ...

Introduction to Riemannian geometry. Riemannian connections, curvature and geodesics. Applications to submanifolds and to the connection between topology and curvature. The course aims to give a ...

The full curvature tensor is in general quite difficult to deal ... Results are described in the Riemannian, Lorentzian, and higher signature settings, and many families of examples are displayed.

Based on this inspiration, in this paper, we propose a heterogeneous Riemannian few-shot learning network (HRFL-Net), which is the first few-shot learning method to perform end-to-end deep learning on ...

Abstract: This paper studies stability- and symmetry-preserving H 2 optimal model reduction problems of linear systems, which include linear gradient systems as a special case. The problem is ...

In this paper we present a set of MATLAB routines for evaluation of the moment-curvature relationship of reinforced concrete cross sections. This is a topic of major importance for both academic and ...

State Key Laboratory of Pulp and Paper Engineering, Guangdong Provincial Key Laboratory of Fuel Cell Technology, School of Chemistry and Chemical Engineering, South China University of Technology, ...

Department of Microtechnology and Nanoscience, Chalmers University of Technology, Göteborg 41296, Sweden ...

In computer graphics, robotics, etc., efficient coordinate conversions matter. This project creates a new coordinate system structure and operations, replacing matrices and tensors, with features like ...