Results 11 to 20 of about 106,926 (209)
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.
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Differential Geometry for Model Independent Analysis of Images and Other Non-Euclidean Data: Recent Developments [PDF]
, 2019 This article provides an exposition of recent methodologies for nonparametric analysis of digital observations on images and other non-Euclidean objects. Fréchet means of distributions on metric spaces, such as manifolds and stratified spaces, have played an important role in this endeavor.
Bhattacharya, Rabi, Lin, Lizhen
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Monopoles, vortices and kinks in the framework of non-commutative geometry [PDF]
, 1997 Non-commutative differential geometry allows a scalar field to be regarded as a gauge connection, albeit on a discrete space. We explain how the underlying gauge principle corresponds to the independence of physics on the choice of vacuum state, should ...
Teo, Edward, Ting, Christopher
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Integrable Background Geometries [PDF]
, 2014 This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric structure, governed
Calderbank, David M. J.
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Holographic models of de Sitter QFTs [PDF]
, 2010 We describe the dynamics of strongly coupled field theories in de Sitter spacetime using the holographic gauge/gravity duality. The main motivation for this is to explore the possibility of dynamical phase transitions during cosmological evolution ...
Aharony O +28 more
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Entropy, 2016 We present a new conceptual approach for modeling of fluid flows in random porous media based on explicit exploration of the treelike geometry of complex capillary networks.
Andrei Khrennikov +2 more
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Supersymmetric solutions to Euclidean Romans supergravity [PDF]
, 2016 We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an SU(2) structure ...
Alday, Luis F. +4 more
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Cross-Modal Perception in the Framework of Non-Riemannian Sensory Space
i-Perception, 2011 Though human sensations, such as the senses of hearing, sight, etc., are independent each other, the interference between two of them is sometimes observed, and is called cross-modal perception[1].
Masaru Shimbo +2 more
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Isoparametric and Dupin Hypersurfaces [PDF]
, 2008 A hypersurface $M^{n-1}$ in a real space-form ${\bf R}^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For ${\bf R}^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as ...
Cecil, Thomas E.
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Automatic Clearance Anomaly Detection for Transmission Line Corridors Utilizing UAV-Borne LIDAR Data
Remote Sensing, 2018 Transmission line corridor (i.e., Right-of-Ways (ROW)) clearance management plays a critically important role in power line risk management and is an important task of the routine power line inspection of the grid company. The clearance anomaly detection
Chi Chen +4 more
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