The combination of Martio's, Rickman's and Väisälä's result from 1971 with Zorich's theorem from 1968 shows that the only simple connected Riemannian manifolds in higher dimensions, for which ...

Abstract: This paper proposes a novel, unified approach to design both radio frequency (RF) and baseband beamforming (BF) solutions for wideband hybrid multiple-input multiple-output (MIMO) systems ...

For orthogonal dictionary learning (ODL) problem, a) run ODL_RieSub_linear.m which solves ODL using Riemannian subgradient-type methods with geometrically diminishing stepsizes and generates Figure 3b ...

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the ...

In this ebook researchers explore and questions question the origin and existence of gravitational waves and black holes ...

Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and ...