Results 41 to 50 of about 10,692 (245)

Kernel Density Estimation on the Siegel Space with an Application to Radar Processing

Entropy, 2016
This paper studies probability density estimation on the Siegel space. The Siegel space is a generalization of the hyperbolic space. Its Riemannian metric provides an interesting structure to the Toeplitz block Toeplitz matrices that appear in the ...
Emmanuel Chevallier, Thibault Forget, Frédéric Barbaresco, Jesus Angulo   +3 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

Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature

, 2013
This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James, BIGGS, JAMES DOUGLAS, James D. Biggs   +2 more
core   +1 more source

A Riemannian Dichotomizer Approach on Symmetric Positive Definite Manifolds for Offline, Writer-Independent Signature Verification

Applied Sciences
Automated handwritten signature verification continues to pose significant challenges. A common approach for developing writer-independent signature verifiers involves the use of a dichotomizer, a function that generates a dissimilarity vector with the ...
Nikolaos Vasilakis, Christos Chorianopoulos, Elias N. Zois   +2 more
doaj   +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

Conformal deformations of the Riemannian metrics and homogeneous Riemannian spaces [PDF]

, 2002
summary:In this paper we investigate one-dimensional sectional curvatures of Riemannian manifolds, conformal deformations of the Riemannian metrics and the structure of locally conformally homogeneous Riemannian manifolds. We prove that the nonnegativity
Slavskii, Viktor V., Rodionov, Eugene D.
core  

On Thermodynamical Kluitenberg Theory in General Relativity

Entropy
In this paper, we introduce Kluitenberg’s formulation of non-equilibrium thermodynamics with internal variables in the context of a Riemannian space, as required by Einstein’s general relativity.
Francesco Farsaci, Patrizia Rogolino
doaj   +1 more source

The Quaternionic Hardy Space and the Geometry of the Unit Ball

Bruno Pini Mathematical Analysis Seminar, 2015
The quaternionic Hardy space of slice regular functions H2(B) is a reproducing kernel Hilbert space. In this note we see how this property can be exploited to construct a Riemannian metric on the quaternionic unit ball B and we study the geometry arising
Giulia Sarfatti
doaj   +1 more source

Generalized Minkowski Type Integral Formulas for Compact Hypersurfaces in Pseudo-Riemannian Manifolds

Mathematics, 2023
We obtain some generalized Minkowski type integral formulas for compact Riemannian (resp., spacelike) hypersurfaces in Riemannian (resp., Lorentzian) manifolds in the presence of an arbitrary vector field that we assume to be timelike in the case where ...
Norah Alessa, Mohammed Guediri
doaj   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source