Results 31 to 40 of about 62,341 (171)

Erratum to ``The geometry of hemi-slant submanifolds of a locally product Riemannian manifold"

TURKISH JOURNAL OF MATHEMATICS, 2016
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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

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, Amir Kadivar, Peter Savadjiev, Steven W. Zucker, Kaleem Siddiqi   +4 more
doaj   +1 more source

Curvature in Noncommutative Geometry

, 2020
Our understanding of the notion of curvature in a noncommutative setting has progressed substantially in the past ten years. This new episode in noncommutative geometry started when a Gauss-Bonnet theorem was proved by Connes and Tretkoff for a curved ...
A Buium, A Connes, A Connes, A Connes, A Connes, A Connes, A Connes, A Connes, A H Chamseddine, A W Knapp, Ali H. Chamseddine, B Iochum, F Fathi Zadeh, F Fathizadeh, F Fathizadeh, F Fathizadeh, F Fathizadeh, Farzad Fathizadeh, H P McKean Jr, M Atiyah, M Khalkhali, M Lesch, M Lesch, M Wodzicki, M. Adler, Mark Kac, Masoud Khalkhali, P B Gilkey, R. Hoegh-Krohn, S Minakshisundaram, S Paycha, T A Bhuyain, Y Liu   +32 more
core   +1 more source

Riemannian Geometry for the Classification of Brain States with Intracortical Brain Recordings

Advanced Intelligent Systems
This 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, Sergio Sánchez‐Manso, Arnau Manasanch, Lluc Tresserras, Xinhe Zhang, Yining Hua, Hao Zhao, Melody Torao‐Angosto, Maria V Sanchez‐Vives, Leonardo Dalla Porta   +9 more
doaj   +1 more source

A Simplified Algorithm for Inverting Higher Order Diffusion Tensors

Axioms, 2014
In Riemannian geometry, a distance function is determined by an inner product on the tangent space. In Riemann–Finsler geometry, this distance function can be determined by a norm.
Laura Astola, Neda Sepasian, Tom Dela Haije, Andrea Fuster, Luc Florack   +4 more
doaj   +1 more source

Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number

, 2017
We obtain estimates of the multiplicative constants appearing in local convergence results of the Riemannian Gauss-Newton method for least squares problems on manifolds and relate them to the geometric condition number of [P. B\"urgisser and F.
Breiding, Paul, Vannieuwenhoven, Nick
core   +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

An existence theorem for G-structure preserving affine immersions [PDF]

, 2006
We prove an existence result for local and global G-structure preserving affine immersions between affine manifolds. Several examples are discussed in the context of Riemannian and semi-Riemannian geometry, including the case of isometric immersions into
Daniel, Paolo Piccione, V. Tausk
core   +1 more source

Noncommutative geometry and lower dimensional volumes in Riemannian geometry

, 2007
In this paper we explain how to define "lower dimensional'' volumes of any compact Riemannian manifold as the integrals of local Riemannian invariants. For instance we give sense to the area and the length of such a manifold in any dimension.
A. Chamseddine, A. Connes, A. Connes, A. Connes, A. Connes, D. Kastler, E. Getzler, J. Dixmier, M. Atiyah, M. Wodzicki, P. Greiner, P.B. Gilkey, Raphaël Ponge, T. Branson, V. Guillemin, V. Guillemin, W. Kalau   +16 more
core   +1 more source