A survey on axioms of submanifolds in Riemannian and Kaehlerian geometry
A survey on the Hawking – Penrose theory
A Tour Through -invariants: from Nash’s Embedding Theorem to Ideal Immersions, Best Ways of Living and Beyond
An introduction to gerbes on orbifolds
This paper is a gentle introduction to some recent results involving the theory of gerbes over orbifolds for topologists, geometers and physicists. We introduce gerbes on manifolds, orbifolds, the Dixmier-Douady class, Beilinson-Deligne orbifold cohomology, Cheeger-Simons orbifold cohomology and string connections.