Extrinsic geometry and linear differential equations of \(\mathfrak{sl}_3\)-type

DOI10.1007/s10455-024-09964-xMaRDI QIDQ6592121

Boris M. Doubrov, Tohru Morimoto

Publication date: 24 August 2024

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

flag varietiescontact manifoldsextrinsic geometryfiltered manifolds\(sl(3)\) representationosculating maps

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Contact manifolds (general theory) (53D10) Differential invariants (local theory), geometric objects (53A55)

Cites Work

• Unnamed Item
• On the classification of projectively homogeneous surfaces
• The classification of projectively homogeneous surfaces. II
• Projective differential geometry of curved surfaces. (First memoir.)
• Projective differential geometry of curves and ruled surfaces.
• A memoir on cubic surfaces
• Fubini-Griffiths-Harris rigidity and Lie algebra cohomology
• Classification of homogeneous submanifolds in homogeneous spaces
• Extrinsic geometry and linear differential equations
• Lie algebra cohomology and the generalized Borel-Weil theorem
• The adjoint variety of SL\(_{m+1}\mathbb C\) is rigid to order three

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