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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240131T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-91
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:FAISAL ROMSHOO\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF
  WATERLOO\n\n\"SOME COMPUTATIONS WITH GAUGE TRANSFORMATIONS ON A $G_2$ MAN
 IFOLD\"\n\nGiven a (torsion-free) $G_2$-manifold $(M\, \\varphi\, g)$ and 
 a gauge\ntransformation $P: TM \\rightarrow TM$\, we want to look at the $
 G_2$\nstructures $\\Tilde{\\varphi} = P^*g$ and explore the conditions for
  it\nto be torsion-free. In this talk\, we will start in a more general\ns
 etting with a Riemannian manifold $(M\, g)$ and obtain an expression\nfor 
 the tensor $B(X\, Y) = \\tilde{\\nabla}_X Y -\\nabla_X Y$ before\nmoving o
 n to computing the full torsion tensor $\\tilde{T}_{pq}$ in the\ncase when
  $M$ is a $G_2$ manifold.\n\nMC 4058
DTSTAMP:20260505T213140Z
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