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Transverse Kähler-Ricci Solitons of Five-Dimensional Sasaki-Einstein Spaces Yp, q and T1, 1

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We investigate the deformations of the Sasaki–Einstein structures of the five-dimensional spaces T 1 , 1 and Y p , q by exploiting the transverse structure of the Sasaki manifolds.… Click to show full abstract

We investigate the deformations of the Sasaki–Einstein structures of the five-dimensional spaces T 1 , 1 and Y p , q by exploiting the transverse structure of the Sasaki manifolds. We consider local deformations of the Sasaki structures preserving the Reeb vector fields but modify the contact forms. In this class of deformations, we analyze the transverse Kahler–Ricci flow equations. We produce some particular explicit solutions representing families of new Sasakian structures.

Keywords: transverse hler; five dimensional; sasaki einstein; hler ricci

Journal Title: Symmetry
Year Published: 2020

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