2001•Kyungpook mathematical journalRequires access

Pseudo-Schwarzian Tensor of Weyl Manifolds

Fumio Narita

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Abstract

We define the pseudo-Schwarzian tensor of a Weyl manifold and we show that the pseudo-Schwarzian tensor is invariant by a Mobius change of metric. Next, we give some properties of the pseudo-Schwarzian tensor.

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We define the pseudo-Schwarzian tensor of a Weyl manifold and we show that the pseudo-Schwarzian tensor is invariant by a Mobius change of metric. Next, we give some properties of the pseudo-Schwarzian tensor.

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Available abstract

We define the pseudo-Schwarzian tensor of a Weyl manifold and we show that the pseudo-Schwarzian tensor is invariant by a Mobius change of metric. Next, we give some properties of the pseudo-Schwarzian tensor.

Key concepts: Weyl tensor, Mathematics, Schwarzian derivative, Pure mathematics, Ricci decomposition, Invariant (physics), Metric (unit), Tensor (intrinsic definition)

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