For graduate students and researchers, this volume is essential for several reasons:
This chapter, originally published in the Annals of Mathematics Studies , is a treasure trove of open problems, organized into thematic sections: (I) Curvature and Topology, (II) Curvature and Complex Structure, (III) Submanifolds, (IV) The Spectrum, (V) Geodesics, (VI) Minimal Submanifolds, and (VII) General Relativity and Yang–Mills Equations. As one reviewer notes, this is a breathtaking collection—38 pages containing over 120 problem sections from 1982, and another 46-page list from 1991.
If you are studying (not just geometry), these lectures are required cultural literacy.