Real and Complex Geometry

The book covers a wide area of hot subjects in real and complex differential geometry, such as conformal geometry, special holonomy, Sasakian geometry, Kähler and non-Kähler metrics, classification of compact complex surfaces, Einstein metrics, bi-Hermitian geometry, non-integrable almost complex structures, etc. The book covers a wide area of hot subjects in real and complex differential geometry, such as conformal geometry, special holonomy, Sasakian geometry, Kähler and non-Kähler metrics, classification of compact complex surfaces, Einstein metrics, bi-Hermitian geometry, non-integrable almost complex structures, etc. All of these are rather close to Paul Gauduchon’s themes and influential results in the past fifty years. The reader will find fifteen papers – a few surveys, but the majority containing new and exciting results. The book thus gives an idea of the present research interests of some of the best experts today in real and complex differential geometry including Vestislav Apostolov, Florin Belgun, Charles Boyer, Georges Dloussky, Anna Fino, Gueo Grantcharov, Claude LeBrun, Andrei Moroianu, Massimiliano Pontecorvo, Simon Salamon, Andrew Swann, Adriano Tomassini, Valentino Tosatti, and Misha Verbitsky.