Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Results Math

Search In Journal Title:

Abbravation: Results in Mathematics

Search In Journal Abbravation:

Publisher

Birkhäuser-Verlag

Search In Publisher:

DOI

10.1007/s10750-009-0027-z

Search In DOI:

ISSN

1420-9012

Search In ISSN:
Search In Title Of Papers:

Decompositions of paracomplex vector bundles and

Authors: Marie Amélie Lawn Lars Schäfer
Publish Date: 2013/04/25
Volume: 48, Issue: 3-4, Pages: 246-274
PDF Link

Abstract

In this work we study decompositions of paracomplex and paraholomorphic vectorbundles endowed with a connection ∇ over a paracomplex manifold First we obtain results on the connections induced on the subbundles their second fundamental forms and their curvature tensors In particular we analyze paraholomorphic decompositions Then we introduce the notion of paracomplex affine immersions and apply the above results to obtain existence and uniqueness theorems for paracomplex affine immersions This is a generalization of the results obtained by Abe and Kurosu AK to paracomplex geometry Further we prove that any connection with vanishing 0 2curvature with respect to the grading defined by the paracomplex structure induces a unique paraholomorphic structure

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Attracting and Invariant Sets of Nonlinear Stochastic Neutral Differential Equations with Delays
  2. L p -L q Estimates For Solutions To The Damped Plate Equation In Exterior Domains
  3. Defect and Area in Beltrami–Klein Model of Hyperbolic Geometry
  4. Limits of integrals involving almost periodic functions
  5. Asymptotische LÖsungen Der Translationsgleichung
  6. Representation Formulas of Curves in a Two- and Three-Dimensional Lightlike Cone
  7. Smooth Stable Planes
  8. Blaschke Dupin hypersurfaces and equiaffine tubes
  9. Matrix Representations of Sturm–Liouville Problems with Finite Spectrum
  10. On the Variation-Diminishing Property
  11. Real Hypersurfaces in Complex Two-plane Grassmannians with $${\mathfrak{D}^{\bot}}$$-Parallel Shape Operator
  12. Point-Reflection Geometries, Geometric K-Loops and Unitary Geometries
  13. Stability of Two Types of Cubic Fuzzy Set-Valued Functional Equations
  14. Pedal Curves Part I: Homogeneous Differential Equation
  15. Regelflächen von Strahlensystemen Mit Demselben SphÄrischen Bild
  16. On the de la Vallée-Poussin Means on the Sphere
  17. Type $${\mathcal{}}$$ Sets and the ttractors of Infinite Iterated Function Systems
  18. Orthocentric Simplices and Biregularity
  19. Conditions for Starlikeness of Multivalent Functions
  20. Rigidity of Complete Minimal Hypersurfaces in the Euclidean Space
  21. On the Rate of Almost Everywhere Convergence of Abel-Cartwright means on L p ( R n )
  22. A Class of Nonlocal Impulsive Problems for Integrodifferential Equations in Banach Spaces
  23. Minimal Submanifolds in S p+3 with Constant Scalar Curvature
  24. Closed form of the Fourier–Borel Kernel in the Framework of Clifford Analysis
  25. Approximation by Linear Combinations of Complex Phillips Operators in Compact Disks
  26. Liouville Theorems for F -Harmonic Maps and Their Applications
  27. A Theorem on Homogeneous Differential Polynomials
  28. Recent Developments In Harmonic Approximation, With Applications
Search Result: