Results 71 to 80 of about 33,779 (212)
Topics in sub-Riemannian geometry
Russian Mathematical Surveys, 2016 This thesis is concerned with three different problems in sub-Riemannian geometry faced during my PhD. The first one is a problem in differential geometry and is about the local conformal classification of a certain class of sub-Riemannian structures. In the second one we deal with topology, and our main result establish some path-fibration properties ...
openaire +4 more sources
Positive paths in diffeomorphism groups of manifolds with a contact distribution
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Given a cooriented contact manifold (M,ξ)$(M,\xi)$, it is possible to define a notion of positivity on the group Diff(M)$\mathrm{Diff}(M)$ of diffeomorphisms of M$M$, by looking at paths of diffeomorphisms that are positively transverse to the contact distribution ξ$\xi$.
Jakob Hedicke
wiley +1 more source
The Schouten Curvature Tensor and the Jacobi Equation in Sub-Riemannian Geometry [PDF]
, 2021 В. Р. Крым
openalex +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Regularity of solutions of the isoperimetric problem that are close to a smooth manifold
, 2017 In this work we consider a question in the calculus of variations motivated by riemannian geometry, the isoperimetric problem. We show that solutions to the isoperimetric problem, close in the flat norm to a smooth submanifold, are themselves smooth and $
Nardulli, Stefano
core +1 more source
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
Advanced Science, Volume 12, Issue 47, December 18, 2025.A microfluidics‐integrated chiral quasi‐BIC metachip is developed that generates strong broadband CD from 0.5–2.0 THz in aqueous environments. A UMAP algorithm processes the resulting multidimensional CD features for simultaneous biomolecular conformation identification and concentration quantification (0.05–0.3 mg dL−1).
Xinyue Liang +8 more
wiley +1 more source
Left-invariant paracontact metric structure on a group Sol
Дифференциальная геометрия многообразий фигурAmong Thurston's famous list of eight three-dimensional geometries is the geometry of the manifold Sol. The variety Sol is a connected simply connected Lie group of real matrices of a special form.
M. V. Sorokina, O. P. Surina
doaj +1 more source
Analysis and Geometry in Metric Spaces, 2013 In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca +2 more
doaj +1 more source
(Random) Trees of Intermediate Volume Growth
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT For every function g:ℝ≥0→ℝ≥0$$ g:{\mathbb{R}}_{\ge 0}\to {\mathbb{R}}_{\ge 0} $$ that grows at least linearly and at most exponentially, if it is sufficiently well‐behaved, we can construct a tree T$$ T $$ of uniform volume growth g$$ g $$, or more precisely, C1·g(r/4)≤|BG(v,r)|≤C2·g(4r),for allr≥0andv∈V(T),$$ {C}_1\cdotp g\left(r/4\right)\le \
George Kontogeorgiou, Martin Winter
wiley +1 more source