Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds
Sign Up to like & getrecommendations! Published in 2021 at "Geometriae Dedicata"
DOI: 10.1007/s10711-021-00639-6
Abstract: Geodesic orbit spaces (or g.o. spaces) are defined as those homogeneous Riemannian spaces $$(M=G/H,g)$$ whose geodesics are orbits of one-parameter subgroups of G. The corresponding metric g is called a geodesic orbit metric. We study… read more here.
Keywords: geodesic orbit; metrics class; orbit metrics; stiefel manifolds ... See more keywords
Sasaki–Einstein metrics on a class of 7-manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2019.01.007
Abstract: In this note we give an explicit construction of Sasaki-Einstein metrics on a class of simply connected 7-manifolds with the rational cohomology of the 2-fold connected sum of $S^2\times S^5$. The homotopy types are distinguished… read more here.
Keywords: einstein metrics; sasaki einstein; metrics class; geometry ... See more keywords