Acta mathematica scientia, Series B >
RIGIDITY OF COMPACT SURFACES IN HOMOGENEOUS 3-MANIFOLDS WITH CONSTANT MEAN CURVATURE
Received date: 2015-07-25
Revised date: 2016-03-28
Online published: 2016-12-25
Supported by
This work was supported by NSFC (11371330).
In this paper, we establish a rigidity theorem for compact constant mean curvature surfaces of the Berger sphere in terms of the surfaces' geometric invariants. This extends the previous similar result on compact minimal surfaces of the Berger sphere.
Jing WANG , Yinshan ZHANG . RIGIDITY OF COMPACT SURFACES IN HOMOGENEOUS 3-MANIFOLDS WITH CONSTANT MEAN CURVATURE[J]. Acta mathematica scientia, Series B, 2016 , 36(6) : 1609 -1618 . DOI: 10.1016/S0252-9602(16)30093-5
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