Results 31 to 40 of about 2,282 (200)

Geometry of conformal manifolds and the inversion formula

Journal of High Energy Physics, 2023
Families of conformal field theories are naturally endowed with a Riemannian geometry which is locally encoded by correlation functions of exactly marginal operators.
Bruno Balthazar, Clay Córdova
doaj   +1 more source

LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS

, 2011
We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
core   +1 more source

Robust Feature Detection and Local Classification for Surfaces Based on Moment Analysis [PDF]

, 2004
The stable local classification of discrete surfaces with respect to features such as edges and corners or concave and convex regions, respectively, is as quite difficult as well as indispensable for many surface processing applications.
Telea, Alexandru, Rumpf, Martin,, Telea, Alexandru,, Rumpf, Martin, Clarenz, U., Clarenz, Ulrich,, Rumpf, M., Clarenz, Ulrich, Telea, A.C.   +8 more
core   +1 more source

Ricci flow coupled with harmonic map flow [PDF]

, 2012
07.02.13 KB. Accepted version ok to add to Spiral. SMF/SherpaWe investigate a new geometric flow which consists of a coupled system of the Ricci flow on a closed manifold M with the harmonic map flow of a map phi from M to some closed target manifold N ...
Reto Müller, Müller, Reto, Müller, R
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

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

Brain–Computer Interfaces: The Dawn of a New Era in Disease Treatment

Exploration, EarlyView.
This study investigates the potential of brain–computer interface (BCI) technology in treating neuropsychiatric disorders, such as movement and communication barriers. Our review examines the history, signal paradigms, and diverse applications of BCI while also discussing ongoing research into novel materials and emerging technologies that offer ...
Yuqi Feng, Wangzheqi Zhang, Jun Chen, Huang Wu, Lei Wu, Yanhao Qiu, Xiaoming Deng, Chenglong Zhu, Yisheng Chen, Zhijie Zhao, Changli Wang, Xiaomin Zhang   +11 more
wiley   +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

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

Mathematische Nachrichten, EarlyView.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río, R. Rodríguez‐Gigirey, R. Vázquez‐Lorenzo   +2 more
wiley   +1 more source

Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

Mathematische Nachrichten, EarlyView.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source