Open AccessVertical Chern Type Classes on Complex Finsler Bundles
Author(s) -
Cristian Ida
Publication year - 2011
Publication title -
analele ştiinţifice ale universităţii "al.i. cuza" din iaşi. matematică
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.144
H-Index - 12
eISSN - 2344-4967
pISSN - 1221-8421
DOI - 10.2478/v10157-011-0033-0
Subject(s) - mathematics , finsler manifold , chern–weil homomorphism , chern class , connection (principal bundle) , pure mathematics , type (biology) , characteristic class , differential (mechanical device) , curvature , cohomology , extension (predicate logic) , mathematical analysis , geometry , de rham cohomology , physics , geology , computer science , paleontology , scalar curvature , equivariant cohomology , thermodynamics , programming language
Vertical Chern Type Classes on Complex Finsler Bundles In the present paper, we define vertical Chern type classes on complex Finsler bundles, as an extension of the v -cohomology groups theory on complex Finsler manifolds. These classes are introduced in a classical way by using closed differential forms with respect to the conjugated vertical differential in terms of the vertical curvature form of Chern-Finsler linear connection. Also, some invariance properties of these classes are studied.