Results 81 to 90 of about 90,046 (220)

Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
wiley   +1 more source

Torsion and the second fundamental form for distributions

, 2015
The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally not symmetric and its skew part is the torsion.
Prince, G. E.
core  

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

Geometry of Foliated Manifolds

Extracta Mathematicae, 2016
In this paper some results of the authors on geometry of foliated manifolds are stated and results on geometry of Riemannian (metric) foliations are discussed.
A.Ya. Narmanov, A.S. Sharipov
doaj  

A note on closed vector fields

AIMS Mathematics
Special vector fields, such as conformal vector fields and Killing vector fields, are commonly used in studying the geometry of a Riemannian manifold. Though there are Riemannian manifolds, which do not admit certain conformal vector fields or certain ...
Nasser Bin Turki , Sharief Deshmukh , Olga Belova   +2 more
doaj   +1 more source

The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry

, 2010
We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Riemannian geometry. We compute estimations of the exponential map which allow us to describe the conjugate locus and the ...
Bonnard, Bernard, Charlot, Grégoire, Ghezzi, Roberta, Janin, Gabriel   +3 more
core   +1 more source

Recognition of motor intentions from EEGs of the same upper limb by signal traceability and Riemannian geometry features. [PDF]

Front Neurosci, 2023
Zhang M, Huang J, Ni S.
europepmc   +1 more source

Riemannian Holonomy and Algebraic Geometry

, 1999
This survey paper is devoted to Riemannian manifolds with special holonomy. To any Riemannian manifold of dimension n is associated a closed subgroup of SO(n), the holonomy group; this is one of the most basic invariants of the metric.
Beauville, A.
core   +2 more sources

The complexifications of pseudo-Riemannian manifolds and anti-Kaehler geometry [PDF]

, 2008
Naoyuki Koike
openalex   +1 more source