Restricted Jacobi Fields
نویسندگان
چکیده
We generalize the concept of a Jacobi field to nonholonomic Riemannian geometry, considering both fields, and, more generally, restricted fields. In first case, corresponding equation involves connection and Schouten curvature tensor. second connections tensors arising in construction Wagner also briefly discuss existence
منابع مشابه
Jacobi Forms over Number Fields
OF THE DISSERTATION Jacobi Forms over Number Fields by Howard Skogman Doctor of Philosophy in Mathematics University of California San Diego, 1999 Professor Harold Stark, Chair We de ne Jacobi Forms over an algebraic number eld K and construct examples by rst embedding the group and the space into the symplectic group and the symplectic upper half space respectively. We then create symplectic m...
متن کاملJacobi Theta Functions over Number Fields
We use Jacobi theta functions to construct examples of Jacobi forms over number fields. We determine the behavior under modular transformations by regarding certain coefficients of the Jacobi theta functions as specializations of symplectic theta functions. In addition, we show how sums of those Jacobi theta functions appear as a single coefficient of a symplectic theta function. 2000 Mathemati...
متن کاملMaass-jacobi Forms over Complex Quadratic Fields
We use methods from representation theory and invariant theory to compute differential operators invariant under the action of the Jacobi group over a complex quadratic field. This allows us to introduce Maass-Jacobi forms over complex quadratic fields, which are Jacobi forms that are also eigenfunctions of an invariant differential operator. We present explicit examples via Jacobi-Eisenstein s...
متن کاملJacobi-Type Vector Fields on Kaehler Manifold
In this paper, we use the notion of Jacobi-type vector fields introduced in [5] to obtain a necessary and sufficient condition for a Kaehler manifold to be isometric to the complex space form (Cn, J, 〈, 〉), where J is the complex structure and 〈, 〉 is the Euclidean metric on Cn. Mathematics Subject Classification: 53C20, 53B21
متن کاملHamilton-Jacobi treatment of fields with constraints
In this paper the Gulers formalism for the systems with finite degrees of freedom is applied to the field theories with constraints. The integrability conditions are investigated and the path integral quantization is performed using the action given by Hamilton-Jacobi formulation. The Proca’s model is investigated in details.
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: International electronic journal of geometry
سال: 2021
ISSN: ['1307-5624']
DOI: https://doi.org/10.36890/iejg.945800