Construction of nearly Kahler manifolds by Foscolo and Haskins-清华大学求真书院

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Construction of nearly Kahler manifolds by Foscolo and Haskins

来源： 11-27

时间：November 27, 2022 16:00 - 17:15

地点：Zoom Meeting ID: 816 4977 5126 Passcode: Kahler

主讲人：河井公大朗 Kawai, Kotaro Associate Research Fellow, BIMSA

Abstract

A 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.

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Instruction for choosing courses in the direction Algebra and Number
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Nearly Kähler geometry
PrerequisiteBasics of Riemmanian geometryAbstractThe (strict) nearly Kähler manifolds form a special class of almost Hermitian manifolds including the 6-sphere whose almost complex structure is induced by octonionic multiplication. It is characterized by the fact that the metric cone is a G2-manifold, a manifold whose holonomy group is contained in the exceptional Lie group G2. So nearly Kähler...
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书院学术

Construction of nearly Kahler manifolds by Foscolo and Haskins

Instruction for choosing courses in the direction Algebra and Number

Nearly Kähler geometry

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