Super Finsler connection of superparticle on two-dimensional curved spacetime

On Projective Two - Dimensional Finsler

Closed geodesics on positively curved Finsler spheres

In this paper, we prove that for every Finsler n-sphere (S, F ) for n ≥ 3 with reversibility λ and flag curvature K satisfying ( λ λ+1 )2 < K ≤ 1, either there exist infinitely many prime closed geodesics or there exists one elliptic closed geodesic whose linearized Poincaré map has at least one eigenvalue which is of the form exp(πiμ) with an irrational μ. Furthermore, there always exist three...

Two-Dimensional Finsler Metrics with Constant Curvature

We construct infinitely many two-dimensional Finsler metrics on S 2 and D 2 with non-zero constant flag curvature. They are all not locally projectively flat.

Visualizing curved spacetime

I present a way to visualize the concept of curved spacetime. The result is a curved surface with local coordinate systems (Minkowski Systems) living on it, giving the local directions of space and time. Relative to these systems, special relativity holds. The method can be used to visualize gravitational time dilation, the horizon of black holes, and cosmological models. The idea underlying th...

Curved Four-Dimensional Spacetime as Infrared Regulator in Superstring Theories

We construct a new class of exact and stable superstring solutions in which our four-dimensional spacetime is taken to be curved . We derive in this space the full one-loop partition function in the presence of non-zero 〈F a μνF μν a 〉 = F 2 gauge background as well as in an 〈RμνρσR〉 = R2 gravitational background and we show that the non-zero curvature, Q = 2/(k + 2), of the spacetime provides ...