پژوهشگاه دانش‌های بنیادی
پژوهشکدهٔ ریاضیات

Geometry and Topology Weekly Seminar سمینار هفتگی هندسه و توپولوژی

Counting Minimal tori in Riemannian Manifolds

Narges Bagherifard  

Wednesday, July 10, 2024,   15:30 - 17:00

VENUE   Lecture Hall 1, Niavaran Bldg.



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


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