Complex surfaces in ℂ⁴ with recurrent shape operators

Paweł Witowicz

Annales Polonici Mathematici (2007)

  • Volume: 90, Issue: 3, page 265-276
  • ISSN: 0066-2216

Abstract

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We study complex affine surfaces in ℂ⁴ with the transversal bundle defined by Nomizu and Vrancken. We classify the surfaces that have recurrent shape operators and parallel transversal metric.

How to cite

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Paweł Witowicz. "Complex surfaces in ℂ⁴ with recurrent shape operators." Annales Polonici Mathematici 90.3 (2007): 265-276. <http://eudml.org/doc/280390>.

@article{PawełWitowicz2007,
abstract = {We study complex affine surfaces in ℂ⁴ with the transversal bundle defined by Nomizu and Vrancken. We classify the surfaces that have recurrent shape operators and parallel transversal metric.},
author = {Paweł Witowicz},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic surface; complex 4-space; complex affine differential geometry; shape operator; recurrent; parallel normal metric},
language = {eng},
number = {3},
pages = {265-276},
title = {Complex surfaces in ℂ⁴ with recurrent shape operators},
url = {http://eudml.org/doc/280390},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Paweł Witowicz
TI - Complex surfaces in ℂ⁴ with recurrent shape operators
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 3
SP - 265
EP - 276
AB - We study complex affine surfaces in ℂ⁴ with the transversal bundle defined by Nomizu and Vrancken. We classify the surfaces that have recurrent shape operators and parallel transversal metric.
LA - eng
KW - holomorphic surface; complex 4-space; complex affine differential geometry; shape operator; recurrent; parallel normal metric
UR - http://eudml.org/doc/280390
ER -

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