Zobrazeno 1 - 10
of 9 406
pro vyhledávání: '"affine geometry"'
We give a simple proof that, for a pre-quantized compact symplectic manifold with a Lagrangian torus fibration, its Riemann-Roch number coincides with its number of Bohr-Sommerfeld fibres. This can be viewed as an instance of the "independence of pol
Externí odkaz:
http://arxiv.org/abs/2411.10348
Autor:
Medina, Alberto, Villabon, Andres
The goal of this paper is to study the geometry of the connected unit component of the real general linear Lie group $4$ dimensional $G_0$ as a Lorentzian and flat affine manifold. As the group $G_0$ is naturally equipped with a bi-invariant Hessian
Externí odkaz:
http://arxiv.org/abs/2405.07053
In this paper, the existence and uniqueness for a specific centro-affine invariant hypersurface flow in $R^{n+1}$ are studied, and the corresponding evolutionary processes in both centro-affine and Euclidean settings are explored. It turns out that t
Externí odkaz:
http://arxiv.org/abs/2403.01340
Autor:
Ikeda, Tact
We investigate ghost-free vector-tensor theories in metric-affine geometry. In all of our analysis, we start with the Lagrangian containing up to quadratic terms of first-order derivatives of a vector field. To obtain ghost-free vector-tensor theorie
Externí odkaz:
http://arxiv.org/abs/2311.11104
Autor:
Tomonari, Kyosuke
We establish the mathematical fundamentals for a unified description of curvature, torsion, and non-metricity 2-forms in the way extending the so-called M\"{o}bius representation of the affine group, which is the method to convert the semi-direct pro
Externí odkaz:
http://arxiv.org/abs/2312.11558
Autor:
Krühner, Paul, Xu, Shijie
This paper is concerned with finite dimensional models for the entire term structure for energy futures. As soon as a finite dimensional set of possible yield curves is chosen, one likes to estimate the dynamic behaviour of the yield curve evolution
Externí odkaz:
http://arxiv.org/abs/2308.02246
Autor:
Bruce, J. W., Tari, F.
Congruences, or $2$-parameter families of lines in $3$-space are of interest in many situations, in particular in geometric optics. In this paper we consider elements of their geometry which are invariant under affine changes of co-ordinates, for exa
Externí odkaz:
http://arxiv.org/abs/2307.02311