Introduction to Differential Geometry

1 What is Differential Geometry?.- 2 Foundations.- 3 The Levi-Civita Connection.- 4 Geodesics.- 5 Curvature.- 6 Geometry and Topology.- 7 Topics in Geometry.- Appendix.

Joel Robbin was born in Chicago in 1941 and completed his PhD at Princeton University in 1965  under the direction of Alonzo Church. After a postdoctoral position in Princeton  he took up an Assistant Professorship at the University of Wisconsin-Madson in 1967, where he became full Professor in 1973.
Joel Robbin began his research in mathematical logic (and wrote a text book on this subject) and later moved on to dynamical systems and symplectic topology. In 1970 he proved a conjecture by Stephen Smale which asserts that Axiom A implies structural stability. His publications include a book on "Matrix Algebra" and joint book with Ralph Abraham on "Transversal Mappings and Flows".



He is a Fellow of the American Mathematical Society.

Dietmar Salamon was born in Bremen in 1953 and completed his PhD at the University of Bremen in 1982 under the direction of Diederich Hinrichsen. After postdoctoral positions in Madison and Zurich, hetook up a position at the University Warwick in 1986, and moved to ETH Zurich in 1998, where he has been emeritus since 2018. His field of research is symplectic topology and related subjects. 

He was an invited speaker at the ECM 1992 in Paris, at the ICM 1994 in Zurich, and at the ECM 2000 in Barcelona. He delivered the Andrejewski Lectures in Goettingen (1998) and at the Humboldt Unversity Berlin (2005), and the Xth Lisbon Summer Lectures in Geometry (2009). 

He is the author of several textbooks and research momgraphs including two joint books with Dusa McDuff entitled "Introduction to Sympectic Topology" and "J-holomorphic Curves and Symplectic Topology" for which they were jointly awarded the 2017 Leroy P Steele Prize for Mathematical Exposition. He is a Fellow of the American Mathematical Society and a member of the Academia Europaea.