Recurrent equiaffine projective Euclidean spaces | Zendy

Almazbek Sabykanov | Zendy; Josef Mikeš | Zendy; Patrik Peška | Zendy

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Recurrent equiaffine projective Euclidean spaces

Author(s) -

Almazbek Sabykanov,

Josef Mikeš,

Patrik Peška

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1904053s

Subject(s) - mathematics , pure mathematics , projective test , ricci curvature , euclidean geometry , complex projective space , euclidean space , riemann curvature tensor , euclidean distance matrix , projective space , tensor (intrinsic definition) , geodesic , curvature , mathematical analysis , geometry

In this paper, we study n-dimensional recurrent equiaffine projective Euclidean manifolds, i.e. manifolds with absolute recurrent curvature tensor, which admit geodesic mappings onto Euclidean space, and they are equiaffine (where was obtained the symmetric Ricci tensor). We obtained main conditions of recurrent projective Euclidean spaces and constructed their examples.

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