SCALAR CURVATURES ON SU(3)/T(k, l)

Scalar Curvatures of Hermitian Metrics on the Moduli Space of Riemann Surfaces

In this article we show that any finite cover of the moduli space of closed Riemann surfaces of g genus with g > 2 does not admit any complete finite-volume Hermitian metric of non-negative scalar curvature. Moreover, we also show that the total mass of the scalar curvature of any almost Hermitian metric, which is equivalent to the Teichmüller metric, on any finite cover of the moduli space is ...

A note on p-curvatures

In this note, we give an arithmetic criterion for the Lie-irreducibility of linear differential equations based on p-curvatures.

On the Non-uniqueness of Conformal Metrics with Prescribed Scalar and Mean Curvatures on Compact Manifolds with Boundary

For a compact Riemannian manifold (M, g) with boundary and dimension n, with n ≥ 2, we study the existence of metrics in the conformal class of g with scalar curvature Rg and mean curvature hg on the boundary. In this paper we find sufficient and necessary conditions for the existence of a smaller metric g̃ < g with curvatures Rg̃ = Rg and hg̃ = hg. Furthermore, we establish the uniqueness of such...

Constraints on Scalar Couplings from π ± → l ± ν

New interactions with Lorentz scalar structure, arising from physics beyond the standard model of electroweak interactions, will induce effective pseudoscalar interactions after renormalization by weak interaction loop corrections. Such induced pseudoscalar interactions are strongly constrained by data on π → lνl decay. These limits on induced pseudoscalar interactions imply limits on the under...

Computational Assessment of Curvatures and Principal Directions of Implicit Surfaces from 3D Scalar Data