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X-WR-CALNAME:Institute of Mathematics and Informatics
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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20250715T130000
DTEND;TZID=Europe/Sofia:20250715T143000
DTSTAMP:20260428T150639
CREATED:20250711T123522Z
LAST-MODIFIED:20250711T125611Z
UID:18007-1752584400-1752589800@math.bas.bg
SUMMARY:Общ семинар на секция "Анализ\, геометрия и топология" и МЦМН
DESCRIPTION:На 15 юли 2025 г. от 13:00 часа в зала 403 на ИМИ-БАН ще се проведе съвместно заседание на Общия семинар на секция “Анализ\, геометрия и топология” и Международния център по математически науки (ICMS-Sofia). \nДоклад на тема: \nWeak Metric Structures on Generalized Riemannian Manifolds\nще изнесе Milan Zlatanovic\, University of Niš\, Serbia. \nРезюме. Linear connections with torsion are important in the study of generalized Riemannian manifolds (\(M\)\, \(G=g+F\))\, where the symmetric part \(g\) of \(G\) is a non-degenerate (0\,2)-tensor and \(F\) is the skew-symmetric part. Some space-time models in theoretical physics are based on \((M\, G=g+F)\)\, where \(F\) is defined using a complex structure. In the lecture\, we will show more general models\, where \(F\) has constant rank and is based on weak metric structures (introduced by the V. Rovenski and R. Wolak)\, which generalize almost contact and \(f\)-contact structures. We consider metric connections (i.e.\, preserving \(G\)) with totally skew-symmetric torsion tensor. For \(\mbox{rank}(F)= \mbox{dim} M\) and non-conformal tensor \(A^2\)\, where \(A\) is a skew-symmetric (1\,1)-tensor adjoint to \(F\)\, we apply weak almost Hermitian structures to fundamental results (by S. Ivanov and M. Zlatanovic) on generalized Riemannian manifolds and prove that the manifold is a weighted product of several nearly Kahler manifolds corresponding to eigen-distributions of \(A^2\). For \(\mbox{rank}(F)< \mbox{dim} M\) we apply weak \(f\)-structures and obtain splitting results for generalized Riemannian manifolds.\n(This is joint work with Vladimir Rovenski\, Department of Mathematics\, University of Haifa). \nПосещението на лектора е финансирано по Научна програма “Повишаване на изследователския капацитет в областта на математическите науки (ПИКОМ)”\, № ДО1-67/05.05.2022. \n\n 
URL:https://math.bas.bg/event/%d0%be%d0%b1%d1%89-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d1%81%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%b0%d0%bd%d0%b0%d0%bb%d0%b8%d0%b7-%d0%b3%d0%b5%d0%be%d0%bc%d0%b5%d1%82%d1%80%d0%b8-24/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%2C%20%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%20%D0%B8%20%D1%82%D0%BE%D0%BF%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F":MAILTO:vmil@math.bas.bg
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