Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 062-01. Contact Fano manifolds and the LeBrun–Salamon conjecture
Manuscript map · lines 3725–3734
OpenAI@2026-10-07#rem:oai-p-062-01
Authors: OpenAI. Family 062.
Title: Contact Fano manifolds and the LeBrun–Salamon conjecture.
Abstract: We resolve the contact-Fano homogeneity conjecture and the Riemannian LeBrun–Salamon conjecture positively. Every smooth connected complex projective contact Fano manifold of complex dimension at least three, with its given contact distribution, is contact-isomorphic to the adjoint variety of a simple complex Lie algebra. Consequently, every closed connected smooth positive quaternionic-Kähler manifold of real dimension $4m{}geq8$ is homothetic to a compact symmetric Wolf space.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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