2004•Kyungpook mathematical journalRequires access

Conformal Transformations of a Weyl Manifold

Fumio Narita, Takafumi Satou

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Abstract

For a conformal transformation of a Weyl manifold, we study the properties of the pseudo-Schwarzian tensors and the Ricci curvatures. We give some invariants which do not vary under conformal transformations or transformations.

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What this paper is about

For a conformal transformation of a Weyl manifold, we study the properties of the pseudo-Schwarzian tensors and the Ricci curvatures. We give some invariants which do not vary under conformal transformations or transformations.

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Available abstract

For a conformal transformation of a Weyl manifold, we study the properties of the pseudo-Schwarzian tensors and the Ricci curvatures. We give some invariants which do not vary under conformal transformations or transformations.

Key concepts: Conformal map, Weyl transformation, Mathematics, Pure mathematics, Manifold (fluid mechanics), Transformation (genetics), Conformal gravity, Conformal geometry

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