"Reason is immortal, all else mortal." - Pythagoras
Summer 2024
Organized by Mihaela Vajiac and Polona Durcik, sponsored by CECHA.
The talks will be held in a hybrid format, on Zoom (meeting ID: 99396752824) and/or on campus at Keck Center of Science and Technology (no. 30 on the Campus map, at the intersection of Walnut Ave and Center St).
Schedule
Friday, June 14, 2024, 10:00am - 11:00am, Keck Center 370
Bogdan Suceava (CSUF)
Geometric Inequalities Between Intrinsic and Extrinsic Curvature Invariants
Abstract: By J. F. Nash’s Theorem, any Riemannian manifold can be embedded into a Euclidean ambient space with dimension sufficiently large. S.-S. Chern pointed out in 1968 that a key technicality in applying Nash’s Theorem effectively is finding useful relationships between intrinsic and extrinsic elements which characterise immersions. After 1993, when a groundbreaking work written by B.-Y. Chen on this theme was published, many explorations pursued this avenue of inquiry. We describe new relationships involving intrinsic and extrinsic curvature invariants, under natural geometric conditions.