Weyl space forms and their submanifolds

Fumio Narita

Colloquium Mathematicae (2001)

  • Volume: 89, Issue: 1, page 117-131
  • ISSN: 0010-1354

Abstract

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We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.

How to cite

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Fumio Narita. "Weyl space forms and their submanifolds." Colloquium Mathematicae 89.1 (2001): 117-131. <http://eudml.org/doc/283858>.

@article{FumioNarita2001,
abstract = {We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.},
author = {Fumio Narita},
journal = {Colloquium Mathematicae},
keywords = {Gauduchon manifold; Einstein-Weyl manifold; Weyl submanifold},
language = {eng},
number = {1},
pages = {117-131},
title = {Weyl space forms and their submanifolds},
url = {http://eudml.org/doc/283858},
volume = {89},
year = {2001},
}

TY - JOUR
AU - Fumio Narita
TI - Weyl space forms and their submanifolds
JO - Colloquium Mathematicae
PY - 2001
VL - 89
IS - 1
SP - 117
EP - 131
AB - We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.
LA - eng
KW - Gauduchon manifold; Einstein-Weyl manifold; Weyl submanifold
UR - http://eudml.org/doc/283858
ER -

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