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Title:聽The stability of steady generalized Ricci solitons.

Abstract:聽Non-K盲hler Calabi-Yau theory is a newly developed subject and it arises naturally in mathematical physics and generalized geometry. The relevant geometries are pluriclosed metrics which are critical points of the generalized Einstein鈥揌ilbert action which is an extension of Perelman鈥檚 F-functional. In this talk, we studied the non-K盲hler Calabi-Yau through pluriclosed flow which was first introduced by Streets and Tian a few years ago. We study the critical points of the generalized Einstein-Hilbert action and discuss the stability of critical points which are defined as pluriclosed steady solitons. We proved that all compact Bismut鈥揌ermitian鈥揈instein metrics are linearly stable.