Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections.
Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation.
Invariant operators on real and complex manifolds.
Invariant prolongation of BGG-operators in conformal geometry
BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.
Invariant subspaces in higher order jet prolongations of a fibred manifold
We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.
Invariant tensorfields and the canonical connection of a 3-web.
Invariant tracking
The problem of invariant output tracking is considered: given a control system admitting a symmetry group , design a feedback such that the closed-loop system tracks a desired output reference and is invariant under the action of . Invariant output errors are defined as a set of scalar invariants of ; they are calculated with the Cartan moving frame method. It is shown that standard tracking methods based on input-output linearization can be applied to these invariant errors to yield the required...
Invariant tracking
The problem of invariant output tracking is considered: given a control system admitting a symmetry group G, design a feedback such that the closed-loop system tracks a desired output reference and is invariant under the action of G. Invariant output errors are defined as a set of scalar invariants of G; they are calculated with the Cartan moving frame method. It is shown that standard tracking methods based on input-output linearization can be applied to these invariant errors to yield the...
Invariantes diferenciales de G-estructuras.
Invariants and Bonnet-type theorem for surfaces in ℝ4
In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map ofWeingarten-type and find a geometrically determined moving frame field. Writing derivative formulas of Frenet-type for this frame field, we obtain eight invariant functions. We prove a fundamental theorem of Bonnet-type, stating that these eight invariants under some natural conditions determine the surface up to a motion. We show that the basic geometric classes of surfaces...
Invariants and calculus for projective geometries.
Invariants and canonical equations of hypersurfaces of second order in -dimensional Euclidean space.
Invariants of analytic curves.
In this article we introduce a complete system of geometric invariants for an analytic curve. No restrictions are imposed on the curve and the invariants can be easily computed.
Involute-evolute curve couples in the Euclidean 4-space.
Isoliertheit und Stabilität von Flächen konstanter mittlerer Krümmung.
Isometric Embeddings of Spherical spaceforms with cyclic fundamental groups.
Isometric immersions of domains of Lobachevski space in Euclidean spaces
Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space.
Isometric Immersions with the Same Gauss Map.
Isometrische Immersionen des n-dim. hyperbolischen Raumes Hn in E4n-3.