A functional expression for the curvature of hyper-dimensional Riemannian spaces.
A functorial approach to differential characters.
A gauge theoretical approach to space-time structures
A gauge theory for the Kadomtsev-Petviashvili system
A Gauss-like map associated to a surface in IR3.
A general background of higher order geometry and induced objects on subspaces.
A general comparison theorem with applications to volume estimates for submanifolds
A general Fredholm theory I: a splicing-based differential geometry
A general non-linear convexity theorem.
A general optimal inequality for arbitrary Riemannian submanifolds.
A General Schwarz Lemma for Riemannian-Manifolds
A generalization of a theorem of S. Gołąb and M. Kucharzewski
A generalization of Berger's rigidity theorem for positively curved manifolds
A generalization of Dixon's description of extended bodies
A generalization of Frenet's frame for non-degenerate quadratic forms with any index
A generalization of Fueter’s monogenic functions to fine domains
A generalization of Nehari's univalence criterion.
A generalization of Steiner Symmetrization for immersed surfaces and its applications.
A generalization of the exterior product of differential forms combining Hom-valued forms
This article deals with vector valued differential forms on -manifolds. As a generalization of the exterior product, we introduce an operator that combines -valued forms with -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.
A generalization of the Holditch theorem for the planar homothetic motions
In this paper, under the one-parameter closed planar homothetic motion, a generalization of Holditch Theorem is obtained by using two different line segments (with fixed lengths) whose endpoints move along two different closed curves.