Differential and geometric structure for the tangent bundle of a projective limit manifold
Differential forms as spinors
Differential geometric structures of stable state feedback systems with dual connections
Differential geometry of canonical quantization
Differential geometry of Cartan domains of type four
In this note we compute the sectional curvature for the Bergman metric of the Cartan domain of type IV and we give a classification of complex totally geodesic manifolds for this metric.
Differential geometry of geodesic spheres.
Differential geometry of grassmannians and the Plücker map
Using the Plücker map between grassmannians, we study basic aspects of classic grassmannian geometries. For ‘hyperbolic’ grassmannian geometries, we prove some facts (for instance, that the Plücker map is a minimal isometric embedding) that were previously known in the ‘elliptic’ case.
Differential geometry of indefinite complex submanifolds in indefinite complex space forms.
Differential geometry of quaternionic manifolds
Differential Geometry of Real Monge-Ampère Foliations.
Differential Geometry of Real Submanifolds in a Kähler Manifold.
Differential Inequlities on Complete Riemannian Manifolds and Applications.
Differential operators and -structures of higher order
Differential Operators on Homogeneous Spaces. I. Irreducibility of the Associated Variety for Annihilators of Induced Modules.
Differential operators on homogeneous spaces. II : relative enveloping algebras
Differential Topology and the Computation of Total Absolute Curvature.
Differential-geometric and variational background of classical gauge field theories.
Differential-geometrical conditions between geodesic curves and ruled surfaces in the Lorentz space.
Diffuse-interface treatment of the anisotropic mean-curvature flow
We investigate the motion by mean curvature in relative geometry by means of the modified Allen-Cahn equation, where the anisotropy is incorporated. We obtain the existence result for the solution as well as a result concerning the asymptotical behaviour with respect to the thickness parameter. By means of a numerical scheme, we can approximate the original law, as shown in several computational examples.
Dilations associated to flat curves.
I would like to give an exposition of the recent work of Tony Carbery, Mike Christ, Jim Vance, David Watson and myself concerning Hilbert transforms and Maximal functions along curves in R2 [CCVWW].