Geodesic
Pseudo-Killing and Pseudoharmonic Vector Fields on a Riemann--Cartan Manifold
Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 267-279

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Six classes of Riemann–Cartan manifolds are distinguished in an invariant way. Geometric characteristics of some of the distinguished classes of Riemann–Cartan manifolds are found, and also conditions hindering the existence, are determined. The local geometry of Riemann–Cartan manifolds carrying pseudo-Killing and pseudoharmonic vector fields is studied. Conditions hindering the existence “in the large” of pseudo-Killing and pseudoharmonic vector fields on Riemann–Cartan manifolds are obtained.
Keywords: Riemann–Cartan manifold, pseudo-Killing vector field, pseudoharmonic vector field, umbilical manifold, Ricci tensor
Mots-clés : adjoint connection. 
@article{MZM_2010_87_2_a8,
     author = {S. E. Stepanov and I. A. Gordeeva},
     title = {Pseudo-Killing and {Pseudoharmonic} {Vector} {Fields} on a {Riemann--Cartan} {Manifold}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {267--279},
     publisher = {mathdoc},
     volume = {87},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a8/}
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S. E. Stepanov; I. A. Gordeeva. Pseudo-Killing and Pseudoharmonic Vector Fields on a Riemann--Cartan Manifold. Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 267-279. http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a8/