Riemannian geometry has today become a vast and important subject. This new book of
Marcel Berger sets out to introduce readers to most of the living topics of the field and …

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …

This paper studies a multiple-input single-output non-orthogonal multiple access cognitive
radio network relying on simultaneous wireless information and power transfer. A realistic …

This book is intended for advanced undergraduates, graduate students, and young
researchers in geometry. It was written with two main goals in mind. First, we give a gentle …

Any sphere Sn admits a metric of constant sectional curvature. These canonical metrics are
homogeneous and Einstein, that is the Ricci curvature constant multiple of the metric. The …

One of the central problems in Riemannian geometry is to determine how large the classes
of manifolds with positive/nonnegative sectional-, Ricci-or scalar curvature are (see [Gr]). For …

We provide an exhaustive description of all simply connected positively curved
cohomogeneity one manifolds. The description yields a complete classification in all …

Manifolds with non-negative sectional curvature have been of interest since the beginning of
global Riemannian geometry, as illustrated by the theorems of Bonnet-Myers, Synge, and …

We construct a metric with positive sectional curvature on a 7-manifold which supports an
isometry group with orbits of codimension 1. It is a connection metric on the total space of an …

It is well known that Lie groups and homogeneous spaces provide a rich source of
interesting examples for a variety of geometric aspects. Likewise it is often the case that …