Results 51 to 60 of about 138 (133)

Global eigenfamilies on closed manifolds

Journal 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

Bi-slant $\xi^{\perp}$-Riemannian submersions

Hacettepe Journal of Mathematics and Statistics, 2022
We introduce bi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of slant and semi-slant $\xi^{\perp}$-Riemannian submersion and present some examples. We give the necessary and sufficient conditions for the integration of the distributions used to define the bi-slant $\xi^{\perp ...
openaire   +4 more sources

Polar Coordinates for the 3/2 Stochastic Volatility Model

Mathematical 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

Mathematische 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, Marco Castrillón‐Lopez, Lorenzo Pellegrino   +2 more
wiley   +1 more source

Riemannian submersions From Almost Hermitian Manifolds [PDF]

Taiwanese Journal of Mathematics, 2013
We survey main results of holomorphic submersions, anti-invariant submersions, slant submersions, semi-invariant submersions and semi-slant submersions defined on almost Hermitian manifolds. We also give an application of Riemannian submersions on redundant robotic chains obtained by Altafini and propose some open problems related to topics discussed ...
openaire   +3 more sources

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

Proceedings 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

Duality and Some Links Between Riemannian Submersion, F-Harmonicity, and Cohomology

Axioms
Fundamentally, duality gives two different points of view of looking at the same object. It appears in many subjects in mathematics (geometry, algebra, analysis, PDEs, Geometric Measure Theory, etc.) and in physics.
Bang-Yen Chen, Shihshu (Walter) Wei
doaj   +1 more source

RIEMANNIAN SUBMERSIONS FROM RIEMANN SOLITONS

Matematički Vesnik
Summary: In the present paper, we study a Riemannian submersion \(\pi\) from a Riemann soliton \((M_1,g,\xi,\lambda)\) onto a Riemannian manifold \((M_2,g^{'})\). We first calculate the sectional curvatures of any fibre of \(\pi\) and the base manifold \(M_2\). Using them, we give some necessary and sufficient conditions for which the Riemann soliton \(
Meriç, Şemsi Eken, Kılıç, Erol
openaire   +1 more source

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

Studies 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, Juan Carlos Marrero, David Martín de Diego   +2 more
wiley   +1 more source

Anti-invariant Riemannian Submersions

, 2015
We give a general Lie-theoretic construction for anti-invariant almost Hermitian Riemannian submersions, anti-invariant quaternion Riemannian submersions, anti-invariant para-Hermitian Riemannian submersions, anti-invariant para-quaternion Riemannian submersions, and anti-invariant octonian Riemannian submersions.
Gilkey, P., Itoh, M., Park, J. H.
openaire   +2 more sources