Results 31 to 40 of about 5,895,038 (194)
Symplectic duality of Symmetric Spaces [PDF]
, 2008 We show that between symmetric spaces of different types there exists a bi-symplectic map.
Loi, Andrea +4 more
core +1 more source
Solving Local Equivalence Problems with the Equivariant Moving Frame Method
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of a submanifold jet provided the action is free and regular. For local equivalence problems the freeness requirement cannot always be satisfied and in this paper we ...
Francis Valiquette
doaj +1 more source
On some submanifolds of a locally product manifold [PDF]
Kodai Mathematical Journal, 1986 In this paper the author defines a cohomology class for each compact semi-invariant submanifold M of a locally product Riemannian manifold M' and uses this cohomology class to obtain a necessary condition for the semi-invariant submanifold to have certain non-vanishing cohomology groups. He also studies the stability of anti-invariant submanifolds in a
openaire +2 more sources
Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley +1 more source
Calibrating Bayesian inference
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information‐updating rules. In many applications, however, prior distributions are introduced merely as instruments to facilitate computation, rather than as representations of genuine subjective belief ...
Yang Liu +2 more
wiley +1 more source
Exponential networks for linear partitions
SciPost PhysicsPrevious work has given proof and evidence that BPS states in local Calabi-Yau 3-folds can be described and counted by exponential networks on the punctured plane, with the help of a suitable non-abelianization map to the mirror curve.
Sibasish Banerjee, Mauricio Romo, Raphael Senghaas, Johannes Walcher
doaj +1 more source
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
Local Wintgen ideal submanifolds
This paper is dedicated to the local parametric classification of Wintgen ideal submanifolds in space forms. These submanifolds are characterized by the pointwise attainment of equality in the DDVV inequality, which relates the scalar curvature, the length of the mean curvature vector field and the normal curvature tensor.
M Dajczer, Th Vlachos
openaire +3 more sources
The local hull of holomorphy of semirigid submanifolds of codimension two.
Michigan Mathematical Journal, 1987 Let \(M\subset {\mathbb{C}}^ n\) be a smooth generic, CR submanifold of codimension d, and let \(T^ C(M)\) and \(H^ C(M)\) be the complexified tangent bundle and the complexified holomorphic tangent bundles. For \(p\in M\), let \(L^ 0_ p(M)=H^ C_ p(M)\), and let \(L^ m_ p(M)\) be the subbundle generated by brackets of length j, i.e., \([L_ 1,[L_ 2,...,[
Boggess, A. +2 more
openaire +2 more sources
Tangent Blow‐Ups for Processing Non‐Manifold Geometry
Computer Graphics Forum, EarlyView.Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov +3 more
wiley +1 more source