Results 61 to 70 of about 6,795 (182)

Statistical Shape Analysis of Human Bodies

open access: yesStatistical Analysis and Data Mining: An ASA Data Science Journal, Volume 18, Issue 4, August 2025.
ABSTRACT Morphological analysis of the human body is crucial for various applications in ergonomics and product design, with significant economic and commercial implications. This paper presents a novel exploration of statistical methods for the analysis of human body shapes based on 3D landmark data.
Jorge Valero   +2 more
wiley   +1 more source

Almost h-semi-slant Riemannian maps [PDF]

open access: yes, 2012
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 ...
Park, Kwang-Soon
core  

Global eigenfamilies on closed manifolds

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract We study globally defined (λ,μ)$(\lambda,\mu)$‐eigenfamilies on closed Riemannian manifolds. Among others, we provide (non‐)existence results for such eigenfamilies, examine topological consequences of the existence of eigenfamilies and classify (λ,μ)$(\lambda,\mu)$‐eigenfamilies on flat tori. It is further shown that for f=f1+if2$f=f_1+i f_2$
Oskar Riedler, Anna Siffert
wiley   +1 more source

Polar Coordinates for the 3/2 Stochastic Volatility Model

open access: yesMathematical Finance, Volume 35, Issue 3, Page 708-723, July 2025.
ABSTRACT The 3/2 stochastic volatility model is a continuous positive process s with a correlated infinitesimal variance process ν$\nu $. The exact definition is provided in the Introduction immediately below. By inspecting the geometry associated with this model, we discover an explicit smooth map ψ$ \psi $ from (R+)2$({\mathbb{R}}^+)^2 $ to the ...
Paul Nekoranik
wiley   +1 more source

On totally umbilical and minimal surfaces of the Lorentzian Heisenberg groups

open access: yesMathematische Nachrichten, Volume 298, Issue 6, Page 1922-1942, June 2025.
Abstract This paper has manifold purposes. We first introduce a description of the Gauss map for submanifolds (both spacelike and timelike) of a Lorentzian ambient space and relate the conformality of the Gauss map of a surface to total umbilicity and minimality.
Giovanni Calvaruso   +2 more
wiley   +1 more source

Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
wiley   +1 more source

Mechanical Hamiltonization of Unreduced ϕ$\phi$‐Simple Chaplygin Systems

open access: yesStudies in Applied Mathematics, Volume 154, Issue 5, May 2025.
ABSTRACT In this paper, we prove that the trajectories of unreduced ϕ$\phi$‐simple Chaplygin kinetic systems are reparameterizations of horizontal geodesics with respect to a modified Riemannian metric. Furthermore, our proof is constructive and these Riemannian metrics, which are not unique, are obtained explicitly in interesting examples.
Alexandre Anahory Simoes   +2 more
wiley   +1 more source

Riemannian Shape Optimization of Thin Shells Using Isogeometric Analysis

open access: yesPAMM, Volume 25, Issue 1, March 2025.
ABSTRACT In this contribution, we consider the optimal shape design of thin elastic shell structures based on a linearized shell model of Koiter's type, whose shape can be described by a surface immersed in three‐dimensional Euclidean space. We regard the set of unparametrized immersions of the surface as an infinite‐dimensional Riemannian shape space ...
Rozan Rosandi, Bernd Simeon
wiley   +1 more source

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