AbstractA Riemannian 6-manifold is called nearly Kahler if its Riemannian cone has holonomy contained in G2. Only known examples were some homogeneous spaces for a long time, but Foscolo and Haskins constructed new cohomogeneity one nearly Kahler manifolds in 2017. I will explain an outline of the construction
AbstractWe consider smooth Riemannian surfaces whose curvature K satisfies the eguationAlogK-c=aK+b away from points where K=c for some (a,b, c) eIR3, which we callgeneralized Ricci surfaces. This equation generalize a result of Ricci, which provides a necessaryand sufficient condition for the surface to be (locally) minimally and isometrically immersed inEuclidean 3-space. in the first part of...