We give a complete list of mutually non-diffeomorphic normal forms for the two-dimensional metrics that admit one essential (i.e., non-homothetic) projective vector field. This revises some results in [28]and extends the results of [10,28], solving a problem posed by Lie (1882

Normal forms of two-dimensional metrics admitting exactly one essential projective vector field / Manno, Giovanni; Vollmer, Andreas. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - STAMPA. - (2020). [10.1016/j.matpur.2020.01.003]

Normal forms of two-dimensional metrics admitting exactly one essential projective vector field

Gianni Manno;
2020

Abstract

We give a complete list of mutually non-diffeomorphic normal forms for the two-dimensional metrics that admit one essential (i.e., non-homothetic) projective vector field. This revises some results in [28]and extends the results of [10,28], solving a problem posed by Lie (1882
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2697753