Results 51 to 60 of about 2,097,491 (204)

Type II degenerations of K3 surfaces of degree 4

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of
James Matthew Jones
wiley   +1 more source

Specialized Orthonormal Frames and Embedding

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We discuss some specializations of the frames of flat orthonormal frame bundles over geometries of indefinite signature, and the resulting symmetries of families of embedded Riemannian or pseudo-Riemannian geometries.
Frank B. Estabrook
doaj   +1 more source

On the tightness of left‐invariant contact structures

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley   +1 more source

On null Cartan rectifying isophotic and rectifying silhouette curves lying on a timelike surface in Minkowski space E^3_1

International Electronic Journal of Geometry
In this paper, we introduce generalized Darboux frames of the first and the second kind along a null Cartan curve lying on a timelike surface in Minkowski space {E}^{3}_{1} and define null Cartan rectifying isophotic and rectifying silhouette curves in ...
Milica Grbović Ćirić, Jelena Djordjević, E. Nešović   +2 more
semanticscholar   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Dirac Spinors on Generalised Frame Bundles: a frame bundle formulation for Einstein-Cartan-Dirac theory

, 2022
We clarify the structure obtained in H\'elein and Vey's proposition for a variational principle for the Einstein-Cartan gravitation formulated on a frame bundle starting from a structure-less differentiable 10-manifold (arXiv:1508.07765v2 [math-ph]). The obtained structure is locally equivalent to a frame bundle.
openaire   +2 more sources

Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley   +1 more source

Jets, frames, and their Cartan geometry

, 2006
Jets frames, that is a generalisation of ordinary frames on a manifold, are described in a language similar to that of gauge theory. This is achieved by constructing the Cartan geometry of a manifold with respect to the diffeomorphism symmetry. This point of vue allows to give new insights and interpretations in the theory of jet frames, in particular ...
openaire   +2 more sources

Geometry of product complex Cartan manifolds

, 2015
In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g ...
Gheorghe Munteanu, Nicoleta Aldea
core   +1 more source

Lightlike hypersurfaces and lightlike focal sets with respect to Bishop frame in 4-dimensional Minkowski Space E1-4.

, 2020
In this article, light-like hypersurfaces that is derived by null Cartan curves will be examined and discussed. The singularities of lightlike hypersurfaces and light-like focal sets are investigated by using the Bishop frame on the Null Cartan curves ...
Özdemir, Zehra
core   +1 more source