Gradient shrinking solitons with vanishing Weyl tensor
نویسندگان
چکیده
منابع مشابه
On Complete Gradient Shrinking Ricci Solitons
In this paper we derive a precise estimate on the growth of potential functions of complete noncompact shrinking solitons. Based on this, we prove that a complete noncompact gradient shrinking Ricci soliton has at most Euclidean volume growth. The latter result can be viewed as an analog of the well-known theorem of Bishop that a complete noncompact Riemannian manifold with nonnegative Ricci cu...
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The notion of Ricci solitons was introduced by Hamilton [24] in mid 1980s. They are natural generalizations of Einstein metrics. Ricci solitons also correspond to self-similar solutions of Hamilton’s Ricci flow [22], and often arise as limits of dilations of singularities in the Ricci flow. In this paper, we will focus our attention on complete gradient shrinking Ricci solitons and survey some ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2009
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2009.242.189