From the 1 of 4 linked papers with an AI index.
4 papers
A new construction of the Riemannian deformation sequence
Andreas Cap
The paper introduces a new construction of a sequence of invariant differential operators on a Riemannian manifold that captures its linearized deformation theory, using a twisted…
The Bernstein-Gelfand-Gelfand (BGG) Construction: Algebra, Geometry, and Analysis; Part I
Andreas Cap
These are lecture notes for the first part of a short course that I taught jointly with Kaibo Hu as part of the thematic program "Differential Complexes: Theory, Discretization, an…
BGG Sequences -- A Riemannian perspective
Andreas Cap
BGG resolutions and generalized BGG resolutions from representation theory of semisimple Lie algebras have been generalized to sequences of invariant differential operators on mani…
Partial AHS-Structures, their Cartan description and partial BGG sequences
Andreas Cap, Micha Andrzej Wasilewicz
G-structures and Cartan geometries are two major approaches to the description of geometric structures (in the sense of differential geometry) on manifolds of some fixed dimension…