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- W4387319641 abstract "Vector fields on a smooth manifold with an affine connection are called <italic>projective</italic> (resp. <italic>c-projective</italic>) if their local flows preserve geodesics (resp. <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper J> <mml:semantics> <mml:mi>J</mml:mi> <mml:annotation encoding=application/x-tex>J</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-planar curves). In this expository paper, metrics with such vector fields are discussed. Emphasis is put on Lie’s classical 1882 problem of finding a local description of surfaces with projective vector fields, known results on this problem, as well as on various extensions in the literature." @default.
- W4387319641 created "2023-10-04" @default.
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- W4387319641 date "2023-01-01" @default.
- W4387319641 modified "2023-10-05" @default.
- W4387319641 title "Metrics admitting projective and c-projective vector fields" @default.
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- W4387319641 doi "https://doi.org/10.1090/conm/788/15827" @default.
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