6-dimensional product Lie algebras admitting integrable complex structures

Abstract

We classify the 6-dimensional Lie algebras of the form g× g that admit integrable complex structure. We also endow a Lie algebra of the kind o(n) o(n) with such a complex structure. The motivation comes from geometric structures \'a la Sasaki on g-manifolds.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…