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Title: A fundamental differential system of 3-dimensional Riemannian geometry
Authors: Albuquerque, Rui
Editors: Golze, François
Keywords: differential system
Riemannian manifold
Issue Date: Mar-2018
Publisher: Elsevier
Citation: R. Albuquerque, A fundamental differential system of 3-dimensional Riemannian geometry, Bull. Sci. math. 143 (2018) 82-107.
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 ∇Ric. 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.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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