Nilpotent Approximations of Sub-Riemannian Distances for Fast Perceptual Grouping of Blood Vessels in 2D and 3D [PDF]
, 2017 We propose an efficient approach for the grouping of local orientations (points on vessels) via nilpotent approximations of sub-Riemannian distances in the 2D and 3D roto-translation groups $SE(2)$ and $SE(3)$.
Bekkers, Erik J. +2 more
core +2 more sources
Non-local geometry inside Lifshitz horizon
Journal of High Energy Physics, 2017 Based on the quantum renormalization group, we derive the bulk geometry that emerges in the holographic dual of the fermionic U(N ) vector model at a nonzero charge density. The obstruction that prohibits the metallic state from being smoothly deformable
Qi Hu, Sung-Sik Lee
doaj +1 more source
Erratum to ``The geometry of hemi-slant submanifolds of a locally product Riemannian manifold"
TURKISH JOURNAL OF MATHEMATICS, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taştan, Hakan Mete, Özdemir, Fatma
openaire +1 more source
Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry
, 2015 We consider local geometry of sub-pseudo-Riemannian structures on contact manifolds. We construct fundamental invariants of the structures and show that the structures give rise to Einstein-Weyl geometries in dimension 3, provided that certain additional
Grochowski, Marek, Krynski, Wojciech
core +1 more source
Discrete Riemannian Geometry [PDF]
, 1998 Within a framework of noncommutative geometry, we develop an analogue of (pseudo) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation.
Dimakis, A., Muller-Hoissen, F.
core +2 more sources
Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram
, 2008 The local geometry of a Riemannian symmetric space is described completely by the Riemannian metric and the Riemannian curvature tensor of the space. In the present article I describe how to compute these tensors for any Riemannian symmetric space from ...
B.-Y. Chen +6 more
core +2 more sources
Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds [PDF]
, 2008 In this work it is shown that a necessary condition for the completeness of the geodesics of left invariant pseudo-Riemannian metrics on Lie groups is also sufficient in the case of 3-dimensional unimodular Lie groups, and not sufficient for 3 ...
Bromberg, Shirley, Medina, Alberto
core +5 more sources
Riemannian Geometry for the Classification of Brain States with Intracortical Brain Recordings
Advanced Intelligent SystemsThis study investigates the application of Riemannian geometry‐based methods for brain decoding using invasive electrophysiological recordings. While Riemannian geometry has been successfully applied in noninvasive settings, its utility for invasive ...
Arnau Marin‐Llobet +9 more
doaj +1 more source
Conduction in the Heart Wall: Helicoidal Fibers Minimize Diffusion Bias
Scientific Reports, 2018 The mammalian heart must function as an efficient pump while simultaneously conducting electrical signals to drive the contraction process. In the ventricles, electrical activation begins at the insertion points of the Purkinje network in the endocardium.
Tristan Aumentado-Armstrong +4 more
doaj +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source