Characterization of Hermitian symmetric spaces by fundamental forms

Simple item page
dc.creatorHwang, Jun-Muk
dc.creatorYamaguchi, Keizo
dc.date2003-07-09
dc.date.accessioned2026-07-07T04:59:30Z
dc.date.available2026-07-07T04:59:30Z
dc.descriptionWe show that an equivariantly embedded Hermitian symmetric space in a projective space, which contains neither a projective space nor a hyperquadric as a component, is characterized by their fundamental forms as a local submanifold of the projective space. Using some invariant-theoretic properties of the fundamental forms and Se-ashi's work on linear differential equations of finite type, we reduce the proof to the vanishing of certain Spencer cohomology groups. The vanishing is checked by Kostant's harmonic theory for Lie algebra cohomology.
dc.description11 pages, to appear in Duke Math. Journal
dc.identifierhttps://arxiv.org/abs/math/0307105
dc.identifierhttp://arxiv.org/abs/math/0307105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68010
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject32M15, 53B25, 14M15
dc.titleCharacterization of Hermitian symmetric spaces by fundamental forms
dc.typetext

Files

Collections

arXiv