Results 41 to 50 of about 26,677 (197)

On the local Kan structure and differentiation of simplicial manifolds

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in [8] to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.
Florian Dorsch
wiley   +1 more source

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

Cluster-projected matrix product state: Framework for engineering exact quantum many-body ground states in one and two dimensions

Physical Review Research
We propose a framework to design concurrently a frustration-free quantum many-body Hamiltonian and its numerically exact ground states on a sufficiently large finite-size cluster in one and two dimensions using an elementary matrix product state (MPS ...
Hidehiro Saito, Chisa Hotta
doaj   +1 more source

Leaf of leaf foliation and Beltrami parametrization in d > 2 dimensional gravity

Nuclear Physics B
This work establishes the existence of a covariant “Beltrami vielbein” in dimensions d>2, generalizing the well-known d=2 case. The definition of this vielbein is motivated by a sub-foliation structure of the Arnowitt–Deser–Misner (ADM) slices of a d ...
Laurent Baulieu
doaj   +1 more source

Canonical forms of oriented matroids

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley   +1 more source

ON CR SUBMANIFOLDS OF LOCALLY CONFORMAI KAEHLER MANIFOLDS

Demonstratio Mathematica, 1986
Characterizations of several classes of CR-submanifolds of locally conformal Kaehler manifolds are obtained. Anti-invariant submanifolds immersed in locally conformal Kaehler manifolds are studied in detail.
openaire   +2 more sources

The dimension of well approximable numbers

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
wiley   +1 more source

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Holonomy and submanifold geometry [PDF]

, 2002
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
Console, S., Di Scala, Antonio Jose', Olmos, C.   +2 more
core  

Eigenvalue Estimates for Submanifolds with Locally Bounded Mean Curvature

Annals of Global Analysis and Geometry, 2003
We give lower bounds for the first Dirichilet eigenvalues for domains in submanifolds with locally bounded mean curvatures. These bounds depend on the injectivity radius, sectional curvature (upperbound) of the ambient space and on the mean curvature of the submanifold.
Pacelli Bessa, G., Montenegro, J. Fábio
openaire   +2 more sources