Submanifold geometry in generalized flag manifolds

Burstall, Francis E.; Calderbank, David M. J.

Displaying similar documents to “Submanifold geometry in generalized flag manifolds”

Editors’ preface for the topical issue “Finite dimensional integrable systems, dynamics, and Lie theoretic methods in Geometry and Mathematical Physics”

Andreas Čap, Vladimir Matveev, Karin Melnick, Galliano Valent (2012)

Open Mathematics

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Conformal Killing forms with normalisation condition

Leitner, Felipe

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Two constructions with parabolic geometries

Čap, Andreas

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Transitive conformal holonomy groups

Jesse Alt (2012)

Open Mathematics

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For (M, [g]) a conformal manifold of signature (p, q) and dimension at least three, the conformal holonomy group Hol(M, [g]) ⊂ O(p + 1, q + 1) is an invariant induced by the canonical Cartan geometry of (M, [g]). We give a description of all possible connected conformal holonomy groups which act transitively on the Möbius sphere S p,q, the homogeneous model space for conformal structures of signature (p, q). The main part of this description is a list of all such groups which also act...

Essential Killing fields of parabolic geometries: projective and conformal structures

Andreas Čap, Karin Melnick (2013)

Open Mathematics

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We use the general theory developed in our article [Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press)], in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.