Harmonic sections of polynomial growth

Harmonic sections of polynomial growth
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DOI:
10.4310/mrl.1997.v4.n1.a4
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发表时间:
1997
影响因子:
1
通讯作者:
Peter Li
Peter Li
中科院分区:
数学3区
文献类型:
--
作者:
Peter Li

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defined on M which has at most polynomial growth of degree d must be finite dimensional for any d ∈ R. In fact, Colding and Minicozzi [C-M 4] announced, and subsequently proved in [C-M 6], a more general statement. They considered complete manifolds satisfying: (V) The volume comparison condition asserting that if Vx(r) is the volume of the geodesic ball centered at x ∈ M of radius r then ( r′ r )ν Vx(r) ≥ Vx(r)