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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.
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 -