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Examples of Hermitian manifolds with pointwise constant anti-holomorphic sectional curvature

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Abstract.

We construct non-compact examples of Hermitian manifolds with pointwise constant anti-holomorphic sectional curvature. Our examples are obtained by conformal change of the metric on an open set of the complex space form.

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  1. Faculty of Engineering, Kanazawa University, Kanazawa, Japan

    Takuji Sato

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  1. Takuji Sato
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Correspondence to Takuji Sato.

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Sato, T. Examples of Hermitian manifolds with pointwise constant anti-holomorphic sectional curvature . J. Geom. 80, 196–208 (2004). https://doi.org/10.1007/s00022-003-1713-z

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  • DOI: https://doi.org/10.1007/s00022-003-1713-z

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