Results 51 to 60 of about 1,787 (168)

Implicit Riemannian Concave Potential Maps

, 2021
We are interested in the challenging problem of modelling densities on Riemannian manifolds with a known symmetry group using normalising flows. This has many potential applications in physical sciences such as molecular dynamics and quantum simulations. In this work we combine ideas from implicit neural layers and optimal transport theory to propose a
Rezende, Danilo J., Racanière, Sébastien   +1 more
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Biharmonic Riemannian Submersions from a Three-Dimensional Non-Flat Torus

Mathematics
In this paper, we study Riemannian submersions from a three-dimensional non-flat torus T2×S1 to a surface and their biharmonicity. In local coordinates, a complete characterization of such Riemannian submersions is provided.
Ze-Ping Wang, Hui-Fang Liu
doaj   +1 more source

Patch-Based Principal Covariance Discriminative Learning for Image Set Classification

IEEE Access, 2017
Image set classification has attracted increasing attention with respect to the use of significant amounts of within-set information. The covariance matrix is a natural and effective descriptor for describing image sets. Non-singular covariance matrices,
Hengliang Tan, Ying Gao
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Slant Riemannian maps from almost Hermitian manifolds [PDF]

Quaestiones Mathematicae, 2013
To appear in Quaestiones Mathematicae, 14 pages.
openaire   +4 more sources

Spectral geometry of harmonic maps into warped product manifolds II

International Journal of Mathematics and Mathematical Sciences, 2001
Let (Mn,g) be a closed Riemannian manifold and N a warped product manifold of two space forms. We investigate geometric properties by the spectra of the Jacobi operator of a harmonic map ϕ:M→N.
Gabjin Yun
doaj   +1 more source

On dynamically consistent Jacobian inverse for non-holonomic robotic systems

Archives of Control Sciences, 2017
This paper presents the dynamically consistent Jacobian inverse for non-holonomic robotic system, and its application to solving the motion planning problem.
Ratajczak Joanna, Tchoń Krzysztof
doaj   +1 more source

A Riemannian Self-Organizing Map [PDF]

, 2009
We generalize the classic self-organizing map (SOM) in flat Euclidean space (linear manifold) onto a Riemannian manifold. Both sequential and batch learning algorithms for the generalized SOM are presented. Compared with the classical SOM, the most novel feature of the generalized SOM is that it can learn the intrinsic topological neighborhood ...
Dongjun Yu, Edwin R. Hancock, William A. P. Smith   +2 more
openaire   +1 more source

Conformal Hemi-Slant Riemannian Maps

Fundamentals of Contemporary Mathematical Sciences, 2022
In this study, we define conformal hemi-slant Riemannian maps from an almost Hermitian manifold to a Riemannian manifold as a generalization of conformal anti-invariant Riemannian maps, conformal semi-invariant Riemannian maps and conformal slant Riemannian maps.
openaire   +3 more sources

Application of joint domain localised matrix CFAR detector for HFSWR

The Journal of Engineering, 2019
Target detection is one of the most important parts of high-frequency surface wave radar (HFSWR) signal processing, to find targets in noise or clutter and obtain targets’ information.
Lei Ye, Qiang Yang, Qiushi Chen, Weibo Deng   +3 more
doaj   +1 more source

ALMOST $h$-SEMI-SLANT RIEMANNIAN MAPS

Taiwanese Journal of Mathematics, 2013
As a generalization of slant Riemannian maps (Sahin), semi-slant Riemannian maps (Park), almost h-slant submersions (Park 2012), and almost h-semi-slant submersions (Park 2011), we introduce the notion of almost h-semi-slant Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds.
openaire   +3 more sources