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PreprintCC BY 4.0arXiv

On the Kobayashi isometries of a class of 2-dimensional Lempert manifolds

  • Naveen Gupta
Open at sourcePDFDOICite

Abstract

We prove that every Kobayashi distance isometry between $2$-dimensional Lempert manifolds having finite universal set (with atleast three elements) is holomorphic or anti-holomorphic. It is shown that every such isometry is Cloc1,1 without any regularity assumption on the isometry.

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Cite

BibTeXRIS
BibTeX
@misc{gupta2026kobayashi,
  title = {{On the Kobayashi isometries of a class of 2-dimensional Lempert manifolds}},
  author = {Naveen Gupta},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04251},
  eprint = {2609.04251},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04251},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On the Kobayashi isometries of a class of 2-dimensional Lempert manifolds
AU  - Naveen Gupta
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.04251
UR  - https://arxiv.org/abs/2609.04251
AB  - We prove that every Kobayashi distance isometry between $2$-dimensional Lempert manifolds having finite universal set (with atleast three elements) is holomorphic or anti-holomorphic. It is shown that every such isometry is C_loc^1,1 without any regularity assumption on the isometry.
ER  -