Isometry types of frame bundles
نویسندگان
چکیده
منابع مشابه
Isometry Types of Profinite Groups
1 2 3 Let T be a rooted tree and Iso(T ) be the group of its isometries. We study closed subgroups G of Iso(T ) with respect to the number of conjugacy classes of Iso(T ) having representatives in G.
متن کاملGeneral Frame Structures on Quantum Principal Bundles
A noncommutative-geometric generalization of the classical formalism of frame bundles is developed, incorporating into the theory of quantum principal bundles the concept of the Levi-Civita connection. The construction of a natural differential calculus on quantum principal frame bundles is presented, including the construction of the associated differential calculus on the structure group. Gen...
متن کاملCovariant Field Theory on Frame Bundles of Fibered Manifolds †
We show that covariant field theory for sections of π : E → M lifts in a natural way to the bundle of vertically adapted linear frames LπE. Our analysis is based on the fact that LπE is a principal fiber bundle over the bundle of 1-jets J1π. On LπE the canonical soldering 1-forms play the role of the contact structure of J1π. A lifted Lagrangian L:LπE → R is used to construct modified soldering...
متن کاملLecture 9: Moving Frames in the Nonhomogenous Case: Frame Bundles
LetM be an n-dimensional Riemannian manifold. ThenM is a differentiable manifold with a smoothly varying inner product 〈, 〉x on each tangent space TxM . An orthonormal frame at the point x ∈ M is an orthonormal basis {e1, . . . , en} of the tangent space TxM . The set of orthonormal frames at each point is isomorphic to the Lie group O(n), and the set of orthonormal frames on M forms a principa...
متن کاملCanonical 1-forms on Higher Order Adapted Frame Bundles
Let (M,F) be a foliated m + n-dimensional manifold M with n-dimensional foliation F . Let V be a finite dimensional vector space over R. We describe all canonical (Folm,n-invariant) V -valued 1-forms Θ: TP r(M,F) → V on the r-th order adapted frame bundle P r(M,F) of (M,F). All manifolds and maps are assumed to be of class C∞. A definition of foliations can be found in [2]. Let Folm,n be the ca...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2016
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2016.285.393