Lines on contact manifolds

DOI10.1515/crll.2001.072zbMath0983.53031arXivmath/0306260OpenAlexW2037284954MaRDI QIDQ2744713

Stefan Kebekus

Publication date: 7 October 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306260

zbMATH Keywords

Fano manifoldtwistor spacescomplex contact structureQuaternionic-Kählerian holonomy groupsecond Betti-number

Mathematics Subject Classification ID

Twistor methods in differential geometry (53C28) Contact manifolds (general theory) (53D10) Issues of holonomy in differential geometry (53C29)

Related Items (9)

Are minimal degree rational curves determined by their tangent vectors? ⋮ High rank torus actions on contact manifolds ⋮ Algebraic torus actions on contact manifolds ⋮ Special lines on contact manifolds ⋮ LINES ON HOLOMORPHIC CONTACT MANIFOLDS AND A GENERALIZATION OF -DISTRIBUTIONS TO HIGHER DIMENSIONS ⋮ Contact Moishezon threefolds with second Betti number one ⋮ Legendrian subvarieties of projective space ⋮ Residues for maps generically transverse to distributions ⋮ Some results on equivariant contact geometry for partial flag varieties

Cites Work

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• Polarized varieties whose points are joined by rational curves of small degress

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