On homogeneous holomorphic conformal structures

Abstract

We study compact complex manifolds M admitting a conformal holomorphic Riemannian structure invariant under the action of a complex semi-simple Lie group G. We prove that if the group G acts transitively and essentially, then M is conformally flat.

0

Turn this paper into a full lesson

ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…