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SUMMARY:Alejandro Tolcachier (National University of Córdoba)
DTSTART:20230405T220000Z
DTEND:20230405T230000Z
DTSTAMP:20260423T021404Z
UID:VSGS/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/69/">Sp
 ecial Hermitian structures on products of Sasakian manifolds</a>\nby Aleja
 ndro Tolcachier (National University of Córdoba) as part of Virtual semin
 ar on geometry with symmetries\n\n\nAbstract\nIt is known that the product
  of two Sasakian manifolds carries a 2-parameter family of Hermitian struc
 tures $(J_{a\,b}\,g_{a\,b})$. In this talk we will investigate when these 
 Hermitian structures are locally conformally Kähler\, balanced\, strong K
 ähler with torsion\, Gauduchon or $k$-Gauduchon ($k≥2$). Moreover\, we 
 will study the Bismut connection associated to $(J_{a\,b}\,g_{a\,b})$ and 
 we will provide formulas for the associated Bismut-Ricci tensor $\\operato
 rname{Ric}^B$ and the Bismut-Ricci form $\\rho^B$. We will show that these
  tensors vanish if and only if each Sasakian factor is $\\eta$-Einstein wi
 th appropriate constants and we will also exhibit some examples fulfilling
  these conditions\, thus providing new examples of Calabi-Yau with torsion
  manifolds. This talk is based in a recent joint work with my PhD advisor 
 Adrián Andrada.\n
LOCATION:https://researchseminars.org/talk/VSGS/69/
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