On the Hermitian structures of the sequence of tangent bundles of an affine manifold endowed with a Riemannian metric
Let (M, ∇, 〈, 〉) be a manifold endowed with a flat torsionless connection r and a Riemannian metric 〈, 〉 and (TkM)k≥1 the sequence of tangent bundles given by TkM = T(Tk−1M) and T1M = TM. We show that, for any k ≥ 1, TkM carries a Hermitian structure (Jk, gk) and a flat torsionless connection ∇k and...
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-01-01
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| Series: | Complex Manifolds |
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| Online Access: | https://doi.org/10.1515/coma-2021-0128 |