We will review work on local biholomorphic equivalence of real-analytic CR manifolds,starting from Poincarés observation in 1907 that the problem is highly
In this talk,I will discuss some recent progress on the existence of smooth transonic flows in a nozzle with variable sections.The flow will be governed by
The Cauchy-Riemann operator for domains in the complex Euclidean space or a Stein manifold is well understood.Much less is known for the solvability or regu
Given any closed hyperbolic surface of a fixed genus,we establish an identity involving dilogarithm of lengths of simple closed geodesics in all embedded pa