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<creators>
<creator>
<creatorName>Romaniuc, S.</creatorName>
<affiliation>Universitatea Tehnica „Gheorghe Asachi“, Iaşi, România</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>The Schouten-Van Kampen connection on the tangent bundle endowed with a general natural metric</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2023</publicationYear>
<relatedIdentifier relatedIdentifierType='ISBN' relationType='IsPartOf'></relatedIdentifier>
<dates>
<date dateType='Issued'>2023</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Conference Paper</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'><p>We determine the Schouten&ndash;Van Kampen connection associated to the Levi-Civita connection of a general natural metric on the total space TM of the tangent bundle of a Riemannian manifold. We provide the necessary and sufficient conditions for the obtained Schouten&ndash;Van Kampen connection to be torsion free and then to coincide with the Levi-Civita connection. We characterize the general natural &alpha;-structures on TM, which are parallel with respect to the torsion free Schouten-Van Kampen connection. Finally, we obtain the (para-)K&uml;ahler structures of general natural lift type on TM, for which the &alpha;-structure is parallel with respect to both Levi-Civita and Schouten-Van Kampen connection.</p></description>
</descriptions>
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<format>application/pdf</format>
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