A Note on Geodesic Vector Fields

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 27 Sep 2020 Czech Republic English Publisher:MDPI AGJournal:Mathematics, volume 8, page 1,663 (eissn: 2227-7390,

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Authors: Sharief Deshmukh; Josef Mikeš; Nasser Bin Turki; Gabriel-Eduard Vîlcu;

doi: 10.3390/math8101663 , 10.13140/rg.2.2.14758.14402

A Note on Geodesic Vector Fields

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Abstract

The concircularity property of vector fields implies the geodesicity property, while the converse of this statement is not true. The main objective of this note is to find conditions under which the concircularity and geodesicity properties of vector fields are equivalent. Moreover, it is shown that the geodesicity property of vector fields is also useful in characterizing not only spheres, but also Euclidean spaces.

Country

Czech Republic

Related Organizations

Palacký University, Olomouc
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Keywords

concircular vector field, Euclidean space, n-sphere, Pure mathematics, geodesic vector field, QA1-939, Mathematics

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