Principal Toroidal Bundles over Cauchy - Riemann Products

نویسندگان

  • MARIA ABATANGELO
  • SORIN DRAGOMIR
چکیده

The main result we obtain is that given t N M a TS-subbundle of the generalized Hopf fibration t H2+’cP over a Cauchy-Riemann product M _ cP, i.e. N _ H is a diffeomorphism on fibres and oj= ot, if s is even and N is a closed submanifold tangent to the structure vectors of the canonical 5Zstructure on H then N is a Cauchy-Riemann submanifold whose Chen class is non-vanishing.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Zero-pole Interpolation for Matrix Meromorphic Functions on a Compact Riemann Surface and a Matrix Fay Trisecant Identity

This paper presents a new approach to constructing a meromorphic bundle map between flat vector bundles over a compact Riemann surface having a prescribed Weil divisor (i.e. having prescribed zeros and poles with directional as well as multiplicity information included in the vector case). This new formalism unifies the earlier approach of Ball-Clancey (in the setting of trivial bundles over an...

متن کامل

Math8811: Complex Analysis

1. Classical Topics 2 1.1. Complex numbers 2 1.2. Differentiability 2 1.3. Cauchy-Riemann Equations 3 1.4. The Riemann Sphere 4 1.5. Möbius transformations 5 1.6. Integration 6 1.7. Cauchy’s Theorems and Applications 7 1.8. Properties of Analytic Functions 9 1.9. The Winding Number 11 1.10. Singularities 12 1.11. Laurent Series 13 1.12. Residue Theory 15 1.13. Normal Families 18 1.14. The Riema...

متن کامل

Locally homogeneous finitely nondegenerate CR-manifolds

In several areas of mathematics, homogeneous spaces are fundamental objects as they often serve as models for more general objects: Various examples from differential geometry (Riemannian symmetric spaces, principal bundles) and topology (geometric 3-manifolds), to algebraic and complex geometry (uniformization theorems, flag manifolds) etc. underline the importance of spaces, furnished with a ...

متن کامل

Complex Structures on Principal Bundles

Holomorphic principal Gbundles over a complex manifold M can be studied using non-abelian cohomology groups H(M,G). On the other hand, if M = Σ is a closed Riemann surface, there is a correspondence between holomorphic principal G-bundles over Σ and coadjoint orbits in the dual of a central extension of the Lie algebra C∞(Σ, g). We review these results and provide the details of an integrabilit...

متن کامل

Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition

Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004