Results 71 to 80 of about 6,795 (182)

Multiplicative rectifying submanifolds of multiplicative Euclidean space

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 329-339, 15 January 2025.
In this paper, we initiate the study of the multiplicative Euclidean submanifolds, exhibiting the multiplicative counterparts of the Gauss–Weingarten formulas. Some particular types such as multiplicative conic, spherical, and totally geodesic submanifolds are analyzed.
Muhittin Evren Aydin, Aykut Has, Beyhan Yilmaz   +2 more
wiley   +1 more source

Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions

Mathematische Nachrichten, Volume 298, Issue 1, Page 87-112, January 2025.
Abstract This paper is devoted to a description of the second‐order differential geometry of torsion‐free almost quaternionic skew‐Hermitian manifolds, that is, of quaternionic skew‐Hermitian manifolds (M,Q,ω)$(M, Q, \omega)$. We provide a curvature characterization of such integrable geometric structures, based on the holonomy theory of symplectic ...
Ioannis Chrysikos, Vicente Cortés, Jan Gregorovič   +2 more
wiley   +1 more source

A property of the interleaving distance for sheaves

Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 137-149, January 2025.
Abstract Let X$X$ be a real analytic manifold endowed with a distance satisfying suitable properties and let k${\bf k}$ be a field. In [Petit and Schapira, Selecta Math. 29 (2023), no. 70, DOI 10.1007/s00029‐023‐00875‐6], the authors construct a pseudo‐distance on the derived category of sheaves of k${\bf k}$‐modules on X$X$, generalizing a previous ...
François Petit, Pierre Schapira, Lukas Waas   +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

Carnot rectifiability and Alberti representations

Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.
Abstract A metric measure space is said to be Carnot‐rectifiable if it can be covered up to a null set by countably many bi‐Lipschitz images of compact sets of a fixed Carnot group. In this paper, we give several characterisations of such notion of rectifiability both in terms of Alberti representations of the measure and in terms of differentiability ...
G. Antonelli, E. Le Donne, A. Merlo
wiley   +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

Characterizing ϕ(Ric)‐Vector Fields and Quasi‐Einstein Manifolds on Multiply Warped Product Manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
We characterize multiply warped product manifolds with ϕ(Ric)‐vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕ(Ric)‐vector field. In terms of physical applications, the multiply generalized Robertson–Walker spacetime is considered.
Moctar Traore, Ameth Ndiaye, Mansour Sane, Ildefonso Castro   +3 more
wiley   +1 more source

2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi, Antonio Masiello   +3 more
wiley   +1 more source

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

On Riemannian warped-twisted product submersions

AIMS Mathematics
In this paper, we introduce the concepts of Riemannian warped-twisted product submersions and examine their fundamental properties, including total geodesicity, total umbilicity and minimality.
Richa Agarwal, Fatemah Mofarreh, Sarvesh Kumar Yadav, Shahid Ali, Abdul Haseeb   +4 more
doaj   +1 more source