Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8905250 | Bulletin des Sciences Mathématiques | 2018 | 25 Pages |
Abstract
We briefly recall a fundamental exterior differential system of Riemannian geometry and apply it to the case of three dimensions. Here we find new global tensors and intrinsic invariants of oriented Riemannian 3-manifolds. In particular, we develop the study of âRic. The exterior differential system leads to a remarkable Weingarten type equation for immersed surfaces in hyperbolic 3-space. A new independent proof for low dimensions of the structural equations gives new insight on the intrinsic exterior differential system.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
R. Albuquerque,