Holomorphic Lie group actions on Danielewski surfaces

• We prove that any Lie subgroup G (with finitely many connected components) of an infinite-dimensional topological group (Formula presented.) which is an amalgamated product of two closed subgroups can be conjugated to one factor. We apply this result to classify Lie group actions on Danielewski surfaces by elements of the overshear group (up to conjugation).

Ämnesord

NATURVETENSKAP  -- Fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences (hsv//eng)

Nyckelord

automorphisms

Danielewski surfaces

free amalgamated product

Lie group actions

one-parameter subgroups

overshears

Primary 32M17

Secondary 22E60

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)