17 بهمن 1401
مهدي رفيعي راد

مهدی رفیعی راد

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی محض-هندسه
تلفن: 01135302464
دانشکده: دانشکده علوم ریاضی

مشخصات پژوهش

عنوان
On a sub-projective Randers geometry
نوع پژوهش سخنرانی
کلیدواژه‌ها
Projective geometry, projective manifolds, projective group, Randers metric
پژوهشگران مهدی رفیعی راد (نفر اول)

چکیده

Projective manifolds form an important class of spaces in geometry and topology. Metric projective manifolds are are typical examples of spaces on which straight line segments are the shortest connection between two points, at least at a local scheme. Randers manifolds (M; F = a + b) are the ubiquitous in Finslerian geometry with applications. A notable sub-group of the projective group Proj(M; F) which is denoted by Proj(M; F) turns the projective Finsler geometry to be a finer geometry called special projective geometry. Some diffcult results in projective Finsler geometry which are not proved yet, are established in this finner projective geometry; A Lichnerowicz- Obata type result is proved for Randers manifolds.