Displaying similar documents to “On almost-Riemannian surfaces”

On Riemannian tangent bundles.

Al-Aqeel, Adnan, Bejancu, Aurel (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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High-order angles in almost-Riemannian geometry

Ugo Boscain, Mario Sigalotti (2006-2007)

Séminaire de théorie spectrale et géométrie

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Let X and Y be two smooth vector fields on a two-dimensional manifold M . If X and Y are everywhere linearly independent, then they define a Riemannian metric on M (the metric for which they are orthonormal) and they give to M the structure of metric space. If X and Y become linearly dependent somewhere on M , then the corresponding Riemannian metric has singularities, but under generic conditions the metric structure is still well defined. Metric structures that can be defined locally...

On the Darboux equation.

Błocki, Zbigniew (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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On the geometry of frame bundles

Kamil Niedziałomski (2012)

Archivum Mathematicum

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Let ( M , g ) be a Riemannian manifold, L ( M ) its frame bundle. We construct new examples of Riemannian metrics, which are obtained from Riemannian metrics on the tangent bundle T M . We compute the Levi–Civita connection and curvatures of these metrics.