PreprintarXiv licencearXiv
A Criterion for the Sphericity of a CR Manifold
Abstract
We formulate and prove a simple criterion for the sphericity of a CR manifold (that is, for its equivalence to its model surface). We discuss the differences between the general case, in which the model surface is weighted homogeneous of arbitrary degree, and the case of Levi-nondegenerate manifolds, whose model surface is quadratic.
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BibTeX
@misc{stepanova2026criterion,
title = {{A Criterion for the Sphericity of a CR Manifold}},
author = {M. A. Stepanova},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31385},
eprint = {2609.31385},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31385},
}
RIS
TY - UNPB
TI - A Criterion for the Sphericity of a CR Manifold
AU - M. A. Stepanova
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31385
UR - https://arxiv.org/abs/2609.31385
AB - We formulate and prove a simple criterion for the sphericity of a CR manifold (that is, for its equivalence to its model surface). We discuss the differences between the general case, in which the model surface is weighted homogeneous of arbitrary degree, and the case of Levi-nondegenerate manifolds, whose model surface is quadratic.
ER -