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SUMMARY:Dario Di Pinto (CMUC\, University of Lisbon)
DTSTART:20241001T150000Z
DTEND:20241001T160000Z
DTSTAMP:20260423T022718Z
UID:Geolis/157
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/157/"
 >Geometry and topology of anti-quasi-Sasakian manifolds</a>\nby Dario Di P
 into (CMUC\, University of Lisbon) as part of Geometria em Lisboa (IST)\n\
 n\nAbstract\nIn the present talk I will introduce a new class of almost co
 ntact metric manifolds\, called anti-quasi-Sasakian (aqS for short). They 
 are non-normal almost contact metric manifolds $(M\,\\varphi\,\\xi\,\\eta\
 ,g)$\, locally fibering along the 1-dimensional foliation generated by $\\
 xi$ onto Kähler manifolds endowed with a closed 2-form of type (2\,0). Va
 rious examples of anti-quasi-Sasakian manifolds will be provided\, includi
 ng compact nilmanifolds\, $\\mathbb{S}^1$-bundles and manifolds admitting 
 a $Sp(n)\\times \\{1\\}$-reduction of the structural group of the frame bu
 ndle. Then\, I will discuss some geometric obstructions to the existence o
 f aqS structures\, mainly related to curvature and topological properties.
  In particular\, I will focus on compact manifolds endowed with aqS struct
 ures of maximal rank\, showing that they cannot be homogeneous and they mu
 st satisfy some restrictions on the Betti numbers.\n\nThis is based on joi
 nt works with Giulia Dileo (Bari) and Ivan Yudin (Coimbra).\n\nReferences\
 n\n1. D. Di Pinto\, On anti-quasi-Sasakian manifolds of maximal rank J. Ge
 om. Phys. 200 (2024)\, Paper no. 105174\, 10 pp.\n\n2. D. Di Pinto\, G. Di
 leo\, Anti-quasi-Sasakian manifolds\, Ann. Global Anal. Geom. 64 (1)\, Art
 icle no. 5 (2023)\, 35 pp.\n
LOCATION:https://researchseminars.org/talk/Geolis/157/
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