Ask a Question

Prefer a chat interface with context about you and your work?

Nonnegativity of the CR Paneitz operator for embeddable CR manifolds

Nonnegativity of the CR Paneitz operator for embeddable CR manifolds

The nonnegativity of the CR Paneitz operator plays a crucial role in three-dimensional CR geometry. In this paper, we prove this nonnegativity for embeddable CR manifolds. This result and previous works give an affirmative solution of the CR Yamabe problem for embeddable CR manifolds. We also show the existence of …