Geometry

Researcher: Radu Peter

Research fields

• Global aspects of Finsler geometry, Morse Index Theorems, connectedness problems in the geometry of positively curved Finsler manifolds.
• Warped and twisted products of Finsler manifolds
• Geometry of positive curvature
• Topics on Kähler Finsler manifolds of positive bisectional curvature

Publications

I. R. Peter, “Some connectedness problems in positively curved Finsler manifolds”, Journal of Geometry and Physics, 59 (1), 2009, 54-62.

I. R. Peter “A connectedness principle for positively curved Finsler manifolds”, Advances Studies in Pure Mathematics, Finsler Geometry, Sapporo 2005-In Memory of Makoto Matsumoto, Published by Mathematical Society of Japan, 48, 2007, 111-125.

I. R. Peter, Notes on Finsler geometry. Global aspects, Mediamira Publisher, 2007.

I. R. Peter, L. Kozma, “Weinstein's theorem for Finsler manifolds”, Journal of Mathematics of Kyoto University, 46(2) , 2006, 377-382.

I. R. Peter, L. Kozma, H. Shimada, “Twisted product of Finsler manifolds”, Reports on Mathematical Physics, 57(3), 2006, 375-383.

I. R. Peter, “Morse Index Theorem where the ends are submanifolds in Finsler geometry”, Houston Journal of Mathematics 32(4), 2006, 995-1009.