Some vector subbundles of a cotangent bundle of order 2
نویسندگان
چکیده
منابع مشابه
A cotangent bundle slice theorem
This article concerns cotangent-lifted Lie group actions; our goal is to find local and “semi-global” normal forms for these and associated structures. Our main result is a constructive cotangent bundle slice theorem that extends the Hamiltonian slice theorem of Marle [C.-M. Marle, Modèle d’action hamiltonienne d’un groupe de Lie sur une variété symplectique, Rendiconti del Seminario Matematico...
متن کاملDirac Cotangent Bundle Reduction
The authors’ recent paper in Reports in Mathematical Physics develops Dirac reduction for cotangent bundles of Lie groups, which is called Lie– Dirac reduction. This procedure simultaneously includes Lagrangian, Hamiltonian, and a variational view of reduction. The goal of the present paper is to generalize Lie–Dirac reduction to the case of a general configuration manifold; we refer to this as...
متن کاملThe Orbit Bundle Picture of Cotangent Bundle Reduction
Cotangent bundle reduction theory is a basic and well developed subject in which one performs symplectic reduction on cotangent bundles. One starts with a (free and proper) action of a Lie group G on a configuration manifold Q, considers its natural cotangent lift to T ∗Q and then one seeks realizations of the corresponding symplectic or Poisson reduced space. We further develop this theory by ...
متن کاملThe Orbit Bundle Picture of Cotangent
Cotangent bundle reduction theory is a basic and well developed subject in which one performs symplectic reduction on cotangent bundles. One starts with a (free and proper) action of a Lie group G on a connguration manifold Q, considers its natural cotangent lift to T Q and then one seeks realizations of the corresponding symplectic or Poisson reduced space. We further develop this theory by ex...
متن کاملBirational Stability of the Cotangent Bundle
We introduce a birational invariant κ++(X |∆) ≥ κ(X |∆) for orbifold pairs (X |∆) by considering the ∆-saturated Kodaira dimensions of rank-one coherent subsheaves of Ω X . The difference between these two invariants measures the birational unstability of Ω(X |∆). Assuming conjectures of the LMMP, we obtain a simple geometric description of the invariant κ++(X |∆), as the Kodaira dimension of t...
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: Annales Polonici Mathematici
سال: 1983
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-43-1-13-21