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比利时vs摩洛哥足彩 ,
university of california san diego

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differential geometry seminar

andrea young

university of arizona

ricci yang-mills solitons on nilpotent lie groups

abstract:

there has been much recent progress in the study of ricci solitons on nilpotent and solvable lie groups. in this talk, i will define the ricci yang-mills flow which is related to the ricci flow. i will also define ricci yang-mills solitons, which are generalized fixed points of the ricci yang-mills flow. these metrics are related to ricci solitons; however, they are defined on principal g-bundles and are designed to detect more of the bundle structure. on nilpotent lie groups, one can say precisely in what sense ricci yang-mills solitons are related to ricci solitons. i will provide examples of 2-step nilpotent lie groups that admit ricci yang-mills solitons but that do not admit ricci solitons. this is joint work with mike jablonski.

host: ben weinkove

november 4, 2009

3:00 pm

ap&m 6402

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