Generalized Schwarzians in several variables and Möbius invariant differential operators (Q2769474)
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scientific article; zbMATH DE number 1701502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Schwarzians in several variables and Möbius invariant differential operators |
scientific article; zbMATH DE number 1701502 |
Statements
Generalized Schwarzians in several variables and Möbius invariant differential operators (English)
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6 February 2002
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Möbius invariant differential operators
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Schwarzian derivative
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locally biholomorphic map
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canonical lift
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0.89155215
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0.8907944
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0.89018273
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0.8876971
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0.8858681
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0.8853811
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In this interesting paper the authors introduce and study certain Möbius invariant differential operators in several variables. These operators generalize the well known classical Schwarzian derivative in one variable. They show that these generalized Schwarzian operators generate the entire set of Möbius invariant differential operators with function coefficients acting on local biholomorphisms. In addition, the authors obtain a necessary and sufficient condition to prescribe generalized Schwarzians and provide the formula for the solution to the Schwarzian equation.
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