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- W4385737626 abstract "The Cartan umbilical tensor is a crucial biholomorphic invariant for three-dimensional strictly pseudoconvex CR manifolds. When considering compact manifolds, its L1-norm, referred to as the total Cartan curvature, is an important global numerical invariant. In this study, we seek to calculate the total Cartan curvature of T3, the three-torus, which features a specific T2-invariant CR structure, incorporating Reinhardt boundaries with closed logarithmic generating curves as a special instance. Our findings present an unexpected corollary indicating that, for many of these boundaries, the total Cartan curvature is equal to 8π2 times the Burns–Epstein invariant." @default.
- W4385737626 created "2023-08-11" @default.
- W4385737626 creator A5084738609 @default.
- W4385737626 date "2024-02-01" @default.
- W4385737626 modified "2023-09-27" @default.
- W4385737626 title "The total Cartan curvature of Reinhardt surfaces" @default.
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- W4385737626 doi "https://doi.org/10.1016/j.jmaa.2023.127652" @default.
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