Metrization problem for linear connections and holonomy algebras
Vanžurová, Alena
Archivum Mathematicum, Tome 044 (2008), p. 511-521 / Harvested from Czech Digital Mathematics Library
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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 of a linear connection, components of a metric compatible with the connection play the role of variational multipliers).

Publié le : 2008-01-01
Classification:  53B05,  53B20 
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     author = {Alena Van\v zurov\'a},
     title = {Metrization problem for linear connections and holonomy algebras},
     journal = {Archivum Mathematicum},
     volume = {044},
     year = {2008},
     pages = {511-521},
     zbl = {1212.53021},
     mrnumber = {2501581},
     language = {en},
     url = {http://dml.mathdoc.fr/item/127117}
}

Vanžurová, Alena. Metrization problem for linear connections and holonomy algebras. Archivum Mathematicum, Tome 044 (2008) pp. 511-521. http://gdmltest.u-ga.fr/item/127117/

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