On weakly para-cosymplectic manifolds of dimension 3 (Q864253)
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scientific article; zbMATH DE number 5125068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weakly para-cosymplectic manifolds of dimension 3 |
scientific article; zbMATH DE number 5125068 |
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On weakly para-cosymplectic manifolds of dimension 3 (English)
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13 February 2007
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A weakly para-cosymplectic manifold is an almost Sasakian manifold \((M,g,\varphi,\xi,\eta)\) such that the 1-form \(\eta\) and the fundamental 2-form \(\Phi\) are closed and that the Riemannian curvature of \(g\) commutes in a sense with \(\varphi\). The authors analyze the 3-dimensional case and classify the locally homogeneous manifolds under consideration.
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(nearly) para-cosymplectic manifold
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locally homogeneous pseudo-Riemannian manifold
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