• Publications
  • Influence
A fundamental differential system of Riemannian geometry
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 orientedExpand
  • 5
  • 3
  • PDF
Homotheties and topology of tangent sphere bundles
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 weightedExpand
  • 11
  • 1
  • PDF
On Invariants of Almost Symplectic Connections
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 invariantsExpand
  • 6
  • 1
  • PDF
Variations of gwistor space
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 metricExpand
  • 6
  • PDF
Curvatures of weighted metrics on tangent sphere bundles
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_rMExpand
  • 9
  • PDF
The ciconia metric on the tangent bundle of an almost Hermitian manifold
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 KählerianExpand
  • 1
  • PDF
A fundamental differential system of 3-dimensional Riemannian geometry
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 ofExpand
  • 2
  • PDF
Riemannian Questions with a Fundamental Differential System
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 theExpand
...
1
2
3
4
...