The quaternionic contact Yamabe problem on a 3-Sasakian manifold

来源 :International Workshop on Conformal Geometry and Geometric P | 被引量 : 0次 | 上传用户：sheng45724575

【摘要】

：

　　We will explain the solution of the quaternionic contact(qc)Yamabe problem on the 3-Sasakian round sphere.Uniqueness in a qc conformal class containing a 3-

【作者】

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Dimiter Nickolov Vassilev

【机构】

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UniversityofNewMexico

【出处】

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International Workshop on Conformal Geometry and Geometric P

【发表日期】

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2015年6期

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　　We will explain the solution of the quaternionic contact(qc)Yamabe problem on the 3-Sasakian round sphere.Uniqueness in a qc conformal class containing a 3-Sasakain metric will be shown by exploiting a relation between infinitesimal qc automorphisms and a Lichnerowicz-Obata type result for the first eigenvalue of the sublaplacian.A unified approach to the Riemannian,CR and qc cases of the considered problem will be stressed.

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