Revistes Catalanes amb Accés Obert (RACO)

A Cartan-type result for invariant distances and one-dimensional holomorphic retracts

C. Watt


We derive conditions under which a holomorphic mapping of a taut Riemann surface must be an automorphism. This is an analogue involving invariant distances of a result of H. Cartan. Using similar methods we prove an existence result for 1-dimensional holomorphic retracts in a taut complex manifold.

Text complet: PDF (English)