# On some types of vector fields on manifolds with Levi-Civita structure

Carfì, David (2002) On some types of vector fields on manifolds with Levi-Civita structure. Accademia Peloritana dei Pericolanti - Classe di Scienze FF.MM.NN., LXXX (1). pp. 67-73.

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## Abstract

In this note one studies some types of vector fields on a Riemmannian manifold \$M\$ endowed with a Levi-Civita connection \$\nabla\$. For instance some types of closed torse forming, exterior concurrent vector fields, and quasi exterior concurrent vector fields. In addition exterior concurrents valued 1-form are also discussed. Finally we state and prove the following proposition: Let X and X' be exterior concurrent vector fields with respective conformal scalar f and f'. Then F = X \land X' is a 2-exterior concurrent vector valued 1-form having \$(f+f') (x^b \land x^b')\$ as concurrence form.

Item Type: Article M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 2002M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 2002M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 2002 Dr PP C 19 Sep 2012 09:26 20 Sep 2012 11:35 http://cab.unime.it/mus/id/eprint/628