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Geometry and Topology Weekly Seminar
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سمینار هفتگی هندسه و توپولوژی
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TITLE
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Counting Minimal tori in Riemannian Manifolds
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SPEAKER
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TIME
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Wednesday, July 10, 2024,
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15:30 - 17:00
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VENUE |
Lecture Hall 1, Niavaran Bldg.
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SUMMARY |
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The problem of counting closed geodesics in Riemannian Manifolds of con-
stant negative curvature has been of interest for many years. A method for counting geodesics in manifolds with arbitrary curvature is introduced by Eftekhary. Minimal surfaces in a Riemannian manifold are higher dimensional gener-
alizations of closed geodesics. A natural question is how to count these types of submanifolds. We introduce a function which counts minimal tori in a Riemannian manifold (M, g) with dim M > 4. Moreover, we show that this count function is invariant under perturbations of the metric.
Looking forward to seeing you
organizers
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تهران، ضلع جنوبی
ميدان شهيد باهنر (نياوران)، پژوهشگاه
دانشهای بنيادی، پژوهشکده رياضيات
School of
Mathematics, Institute for Research in
Fundamental Sciences (IPM), Niavaran
Bldg., Niavaran Square, Tehran
ipmmath@ipm.ir
♦ +98 21
22290928 ♦
math.ipm.ir |
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