Results 61 to 70 of about 1,369,661 (263)

Parallal Spinors on Pseudo-Riemannian SpinC Manifolds [PDF]

J.Geom.Phys. 56 (2006) 1473-1483, 2005
We describe, by their holonomy groups, all simply connected irreducible non-locally symmetric pseudo-Riemannian SpinC manifolds which admit parallel spinors. So we generalise the Riemannian case and the pseudo-Riemannian one.
arxiv   +1 more source

Sub-Riemannian Curvature in Contact Geometry [PDF]

Journal of Geometric Analysis, 2015
We compare different notions of curvature on contact sub-Riemannian manifolds. In particular, we introduce canonical curvatures as the coefficients of the sub-Riemannian Jacobi equation.
A. Agrachev, D. Barilari, L. Rizzi
semanticscholar   +1 more source

Polar Coordinates for the 3/2 Stochastic Volatility Model

Mathematical Finance, EarlyView.
ABSTRACT The 3/2 stochastic volatility model is a continuous positive process s with a correlated infinitesimal variance process ν$\nu $. The exact definition is provided in the Introduction immediately below. By inspecting the geometry associated with this model, we discover an explicit smooth map ψ$ \psi $ from (R+)2$({\mathbb{R}}^+)^2 $ to the ...
Paul Nekoranik
wiley   +1 more source

On Jacobi fields and canonical connection in sub-Riemannian geometry [PDF]

, 2015
In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like invariants. We show that these coefficients can be interpreted as the curvature of a canonical Ehresmann connection associated to the metric, first introduced in ...
D. Barilari, L. Rizzi
semanticscholar   +1 more source

Social Rationality and Human Reasoning: Logical Expressivism and the Flat Mind

Topics in Cognitive Science, EarlyView.
Abstract This paper attempts to reconcile the claims that the mind is both flat (Chater, 2018) and highly rational (Oaksford & Chater, 2020). According to the flat mind hypothesis, the mind is a mass of inconsistent and contradictory fragments of experience.
Mike Oaksford
wiley   +1 more source

The χ-Hessian Quotient for Riemannian Metrics

Axioms, 2021
Pseudo-Riemannian geometry and Hilbert–Schmidt norms are two important fields of research in applied mathematics. One of the main goals of this paper will be to find a link between these two research fields. In this respect, in the present paper, we will
Pişcoran Laurian-Ioan, Akram Ali, Barbu Cătălin, Ali H. Alkhaldi   +3 more
doaj   +1 more source

The rolling problem: overview and challenges

, 2012
In the present paper we give a historical account -ranging from classical to modern results- of the problem of rolling two Riemannian manifolds one on the other, with the restrictions that they cannot instantaneously slip or spin one with respect to the ...
A Agrachev, A Agrachev, A Agrachev, A Chelouah, A Marigo, A Marigo, AM Bloch, AV Borisov, Cartan, Cartan, DJ Montana, DW Stroock, E Grong, EP Hsu, F Alouges, G Bor, H Sussmann, I Zelenko, I Zelenko, IM Singer, J Zimmerman, J-M Bismut, K Hüper, K Hüper, K Nomizu, M Godoy Molina, M Godoy Molina, P Rouchon, PB Gilkey, PE Jupp, R Bryant, R Montgomery, R Murray, RW Sharpe, S Kobayashi, SA Chaplygin, SA Chaplygin, T Sakai, V Jurdjevic, V Jurdjevic, V Jurdjevic, Y Chitour, Y Chitour, Y Chitour, Z Li   +44 more
core   +2 more sources

Asymptotic behavior of Moncrief Lines in constant curvature space‐times

Bulletin of the London Mathematical Society, EarlyView.
Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti, Abderrahim Mesbah, Lamine Messaci   +2 more
wiley   +1 more source

Dimensionality Reduction for BCI Classification using Riemannian Geometry

Graz Brain-Computer Interface Conference, 2017
In the past few years, there has been an increasing interest among the Brain-Computer Interface research community in classification algorithms that respect the intrinsic geometry of covariance matrices.
P. Rodrigues, Florent Bouchard, M. Congedo, C. Jutten   +3 more
semanticscholar   +1 more source

Equal area partitions of the sphere with diameter bounds, via optimal transport

Bulletin of the London Mathematical Society, EarlyView.
Abstract We prove existence of equal area partitions of the unit sphere via optimal transport methods, accompanied by diameter bounds written in terms of Monge–Kantorovich distances. This can be used to obtain bounds on the expectation of the maximum diameter of partition sets, when points are uniformly sampled from the sphere.
Jun Kitagawa, Asuka Takatsu
wiley   +1 more source