Metrization of connections with regular curvature

Alena Vanžurová

Displaying similar documents to “Metrization of connections with regular curvature”

Metrization problem for linear connections and holonomy algebras

Alena Vanžurová (2008)

Archivum Mathematicum

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We contribute to the following: given a manifold endowed with a linear connection, decide whether the connection arises from some metric tensor. Compatibility condition for a metric is given by a system of ordinary differential equations. Our aim is to emphasize the role of holonomy algebra in comparison with certain more classical approaches, and propose a possible application in the Calculus of Variations (for a particular type of second order system of ODE’s, which define geodesics...

On Riemannian manifolds whose tangent sphere bundles can have nonnegative sectional curvature.

Kowalski, Oldřich, Sekizawa, Masami (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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The Gauss map of Hessian manifolds in spaces of constant Hessian sectional curvature via Kozsul forms.

Yilmaz, Münevver Yildirim, Bektaş, Mehmet (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

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$g$ -natural metrics of constant curvature on unit tangent sphere bundles

M. T. K. Abbassi, Giovanni Calvaruso (2012)

Archivum Mathematicum

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We completely classify Riemannian $g$ -natural metrics of constant sectional curvature on the unit tangent sphere bundle $T_{1} M$ of a Riemannian manifold $(M, g)$ . Since the base manifold $M$ turns out to be necessarily two-dimensional, weaker curvature conditions are also investigated for a Riemannian $g$ -natural metric on the unit tangent sphere bundle of a Riemannian surface.

Natural intrinsic geometrical symmetries.

Haesen, Stefan, Verstraelen, Leopold (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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On the Darboux equation.

Błocki, Zbigniew (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Displaying similar documents to “Metrization of connections with regular curvature”

Metrization problem for linear connections and holonomy algebras

On Riemannian manifolds whose tangent sphere bundles can have nonnegative sectional curvature.

The Gauss map of Hessian manifolds in spaces of constant Hessian sectional curvature via Kozsul forms.

g -natural metrics of constant curvature on unit tangent sphere bundles

Natural intrinsic geometrical symmetries.

On the Darboux equation.

$g$ -natural metrics of constant curvature on unit tangent sphere bundles