Results 51 to 60 of about 12,062 (222)

Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons

Mathematics
In this paper, we develop the concept of gradient r-Almost Newton-Ricci-Yamabe solitons (in brief, gradient r-ANRY solitons) immersed in a Riemannian manifold.
Mohd Danish Siddiqi, Fatemah Mofarreh
doaj   +1 more source

Spatial depth for data in metric spaces

Scandinavian Journal of Statistics, EarlyView.
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley   +1 more source

Anisotropically Weighted and Nonholonomically Constrained Evolutions on Manifolds

Entropy, 2016
We present evolution equations for a family of paths that results from anisotropically weighting curve energies in non-linear statistics of manifold valued data. This situation arises when performing inference on data that have non-trivial covariance and
Stefan Sommer
doaj   +1 more source

Some properties of biconcircular gradient vector fields; pp. 162–169 [PDF]

Proceedings of the Estonian Academy of Sciences, 2009
We consider a Riemannian manifold carrying a biconcircular gradient vector field X, having as generative a closed torse forming U. The existence of such an X is determined by an exterior differential system in involution depending on two arbitrary ...
Adela Mihai
doaj   +1 more source

The Microlayer Framework: Extension to Aggregates With Non‐Uniform Shapes

PAMM, Volume 26, Issue 1, March 2026.
ABSTRACT The microlayer framework is a novel, powerful method for the numerical simulation of heterogeneous materials, such as aggregate‐matrix composites across different scales. While the framework has previously only been applied to geometrically isotropic aggregates, its mathematical formulation also enables the development of material models for ...
Marcel May, Ines Wollny, Jakob Platen, Michael Kaliske   +3 more
wiley   +1 more source

On the sectional curvature of lightlike submanifolds

Journal of Inequalities and Applications, 2016
The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
doaj   +1 more source

Entropy rigidity for cusped Hitchin representations

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary, Tengren Zhang, Andrew Zimmer   +2 more
wiley   +1 more source

Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold

Journal of Inequalities and Applications, 2018
Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
doaj   +1 more source

How Far Are Two Symmetric Matrices From Commuting? With an Application to Object Characterisation and Identification in Metal Detection

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger, W. R. B. Lionheart, J. Elgy   +2 more
wiley   +1 more source

Definition and Computation of Tensor‐Based Generalized Function Composition

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley   +1 more source