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
Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds
Sign Up to like & getrecommendations! Published in 2022 at "Automatica"
DOI: 10.1016/j.automatica.2021.110072
Abstract: We study emergent asymptotic dynamics for the first and second-order highdimensional Kuramoto models on Stiefel manifolds which extend the previous consensus models on Riemannian manifolds including several matrix Lie groups. For the first-order consensus model… read more here.
Keywords: order; emergent behaviors; stiefel manifolds; models stiefel ... See more keywords
Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104223
Abstract: 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… read more here.
Keywords: geodesic orbit; orbit metrics; stiefel manifolds; orbit ... See more keywords
Vector fields on projective Stiefel manifolds and the Browder-Dupont invariant
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107364
Abstract: Abstract We develop strong lower bounds for the span of the projective Stiefel manifolds X n , r = O ( n ) / ( O ( n − r ) × Z / 2… read more here.
Keywords: projective stiefel; dupont invariant; stiefel manifolds; browder dupont ... See more keywords
Multi-Resolution Multicasting Over the Grassmann and Stiefel Manifolds
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Wireless Communications"
DOI: 10.1109/twc.2017.2707549
Abstract: We consider the design of space-time codes for the multiple-input multiple-output multicast communication systems with two classes of receivers. The first class comprises high-resolution (HR) receivers which have access to reliable channel state information (CSI)… read more here.
Keywords: resolution; information; stiefel manifold; grassmann stiefel ... See more keywords