New homogeneous Einstein metrics on quaternionic Stiefel manifolds-Reference-Cited by-同舟云学术

New homogeneous Einstein metrics on quaternionic Stiefel manifolds

Published:2018-10-01 Issue:4 Volume:18 Page:509-524
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Arvanitoyeorgos Andreas¹,Sakane Yusuke²,Statha Marina¹

Affiliation:

1. University of Patras, Department of Mathematics , 26500 , Rion , Greece

2. Osaka University, Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology , Suita , Osaka 565-0871 , Japan

Abstract

Abstract We consider invariant Einstein metrics on the quaternionic Stiefel manifold V p ℍ n of all orthonormal p-frames in ℍ n . This manifold is diffeomorphic to the homogeneous space Sp(n)/Sp(n − p) and its isotropy representation contains equivalent summands. We obtain new Einstein metrics on V p ℍ n ≅ Sp(n)/Sp(n − p), where n = k 1 + k 2 + k 3 and p = n − k 3. We view V p ℍ n as a total space over the generalized Wallach space Sp(n)/(Sp(k 1)×Sp(k 2)×Sp(k 3)) and over the generalized flag manifold Sp(n)/(U(p)×Sp(n − p)).

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2018-0014/pdf

Reference14 articles.

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