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Publications Influence

A fundamental differential system of Riemannian geometry

- R. Albuquerque
- Mathematics
- 14 December 2011

We discover a fundamental exterior differential system of Riemannian geometry; indeed, an intrinsic and invariant global system of differential forms of degree n associated to any given oriented… Expand

5 3- PDF

Homotheties and topology of tangent sphere bundles

- R. Albuquerque
- Mathematics
- 19 December 2010

We prove a Theorem on homotheties between two given tangent sphere bundles SrM of a Riemannian manifold M, g of $${{\rm dim}\geq3}$$dim≥3, assuming different variable radius functions r and weighted… Expand

11 1- PDF

On Invariants of Almost Symplectic Connections

- R. Albuquerque, R. Picken
- Mathematics
- 10 July 2011

We study the irreducible decomposition under Sp(2n,ℝ)$Sp(2n,{\mathbb R})$ of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants… Expand

6 1- PDF

On Lie Groups with Left Invariant Semi-riemannian Metric

- R. Albuquerque
- 1998

4

Variations of gwistor space

- R. Albuquerque
- Mathematics
- 26 July 2011

We study natural variations of the G2 structure 0 2 3 existing on the unit tangent sphere bundle SM of any oriented Riemannian 4-manifold M. We nd a circle of structures for which the induced metric… Expand

6- PDF

Curvatures of weighted metrics on tangent sphere bundles

- R. Albuquerque
- Mathematics
- 26 July 2011

We determine the curvature equations of natural metrics on tangent bundles and radius r tangent sphere bundles S_rM of a Riemannian manifold M. A family of positive scalar curvature metrics on S_rM… Expand

9- PDF

Ju l 2 01 9 A fundamental differential system of Riemannian geometry

The ciconia metric on the tangent bundle of an almost Hermitian manifold

- R. Albuquerque
- Mathematics
- 22 December 2016

We find a new class of invariant metrics existing on the tangent bundle of any given almost Hermitian manifold. We focus here on the case of Riemannian surfaces, which yield new examples of Kählerian… Expand

1- PDF

A fundamental differential system of 3-dimensional Riemannian geometry

- R. Albuquerque
- Mathematics
- 17 April 2015

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… Expand

2- PDF

Riemannian Questions with a Fundamental Differential System

- R. Albuquerque
- Physics
- 2014

We introduce the reader to a fundamental exterior differential system of Riemannian geometry which arises naturally with every oriented Riemannian n + 1-manifold M. Such system is related to the… Expand

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