Klein geometries and stable nonlinear Spencer sequence
This paper has been withdrawn by the authors
math.DG↗
arXiv subjects
Ender Abadoglu
Publications and source records attributed to Ender Abadoglu.
Intrinsic characteristic classes for a local Lie group
For a local Lie group M we define odd order cohomology classes. The first class is an obstruction to globalizability of the local Lie group. The third class coincides with Godbillon-Vey class in a particular case. These classes are secondary as they emerge when curvature vanishes.
math.DG↗
Klein geometries, parabolic geometries and differential equations of finite type
We define the infinitesimal and geometric orders of an effective Klein geometry G/H. Using these concepts, we prove i) For any integer m>1, there exists an effective Klein geometry G/H of infinitesimal order m such that G/H is a projective variety (Corollary 9). ii) An effective Klein geometry G/H of geometric order M defines a differential equation of order M+1 on G/H whose global solution space is G (Proposition 18).
math.DG↗