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Existence of H-bubbles in a perturbative setting.

Paolo Caldiroli, Roberta Musina (2004)

Revista Matemática Iberoamericana

Given a C1 function H: R3 --> R, we look for H-bubbles, i.e., surfaces in R3 parametrized by the sphere S2 with mean curvature H at every regular point..

Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties

Joseph M. Landsberg (2008)

Archivum Mathematicum

These are expository notes from the 2008 Srní Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial differential equations, and (2) to give an exposition of recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris rigidity of rational homogeneous varieties, which also involves an advance in the EDS technology.

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