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SUMMARY:Hemangi Madhusudan Shah (Harish-Chandra Research Institute)
DTSTART:20230308T090000Z
DTEND:20230308T100000Z
DTSTAMP:20260423T021359Z
UID:VSGS/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/66/">So
 me Solitons on Homogeneous Almost $\\alpha$-Cosymplectic 3-Manifolds and H
 armonic Manifolds</a>\nby Hemangi Madhusudan Shah (Harish-Chandra Research
  Institute) as part of Virtual seminar on geometry with symmetries\n\n\nAb
 stract\nWe investigate the nature of Einstein solitons\, whether it is ste
 ady\, shrinking or expanding on almost alpha-cosymplectic 3-manifolds. We 
 also prove that a simply connected homogeneous almost $\\alpha$-cosymplect
 ic 3-manifold\, admitting a contact Einstein soliton\, is an unimodular se
 midirect product Lie group. Finally\, we show that a harmonic manifold adm
 its a  non-trivial Ricci soliton if and only if it is flat. Thus we show t
 hat rank one symmetric spaces of compact as well as non-compact type are s
 table under a Ricci soliton. In particular\, we obtain a strengthening of 
 Theorem 1 and Theorem 2 of  the paper on the Stability of symmetric spaces
  of noncompact type under Ricci flow\, by R. Balmer.\n
LOCATION:https://researchseminars.org/talk/VSGS/66/
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