49:40 国际基础科学大会-Artur Avila-TBA-Artur Avila 1:04:59 国际基础科学大会-Function spaces on quantum tori and their applications-Xiao Xiong 53:07 国际基础科学大会-Duality between the pseudoeffective and the movable cone on a…… 52:28 国际基础科学大会-The Evening of Physics – 2024ICBS ...
symmetric coneMeans on self-dual and homogeneous cones (, i.e., symmetric cones) are discussed from a viewpoint of differential geometry with affine connections. We first define means on symmetric cones in an axiomatic way following [8]. Next we consider dualistic differential geometry (, i.e...
The introduction of a vector field in the structure of spacetime causes relativity violations and local anisotropy which arise from breaking the Lorentz symmetry and which affect the metric, curvature, geodesics and null cone [43,44,45,46,47,48,49,50]. In the framework of modified gravitational...
The cube surface is the simplest and perhaps most natural example of closed surface endowed with a flat metric with several cone-type singularities. We study the qualitative and quantitative behaviors of geodesics on this surface. We focus on uniformity(=equidistribution): given any "nice" test ...
(\mathfrak {C},\ \textsf{d}_{a,\mathfrak {C}}),\ \mathfrak {o} metric cone on \mathbb {R}^d and its vertex, see Subsection 2.1.2 \textsf{W}_{a,\mathfrak {C}} L^2-Kantorovich–Wasserstein distance on {\mathcal {P}}_2(\mathfrak {C}) induced by \textsf{d}_{a,\...
the space of leavesis a manifold and the projectionis a submersion, (iii) for every, the imageis a cone in the vector spaceand the mapis injective. In addition, if the above conditions are satisfied,is contactomorphic to the space of null geodesics of, wheregis a metric onwith bundle ...
Reeh–Schlieder property: There exists a unit vectorthat is cyclic forif. (Cov) Covariance: There is a Lie groupGacting onMand a unitary representationsuch thatfor. (BW) Bisognano–Wichmann property:is separating for some “wedge region”and there exists an elementwithfor, whereis the modular...
αregularity. This is accomplished by proving sharp with respect to scale estimates for the Lagrangian phase operator on collapsing manifolds with boundary. As an application of our techniques we give a simplified proof of Chen’s theorem on the existence of1,αgeodesics in the space of Kähler...
A most relevant aspect of this apparent puzzle is that, if actually realized, the SDC would cease to make sense as a swampland constraint. Given an effective theory violating the SDC in its moduli space, one could always argue that this corresponds to the theory on M, and that above ...
The family \\(\\mathcal {N}\\) of n -variate normal distributions is parameterized by the cone of positive definite symmetric \\(nimes n\\) -matrices and the n -dimensional real vector space. Equipped with the Fisher information metric, \\(\\mathcal {N}\\) becomes a Riemannian ...