HOLOMORPHICALLY PROJECTIVE MAPPINGS OF SPECIAL KÄHLER MANIFOLDS

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2018

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The paper treats diffeomorphisms of special Kählerian manifolds,which preserve analytical planar curves. The research is conducted locally, in tensor shape, without limitations on the sign of metric. The problem is proved to be equivalent to solving a system of differential equations in covariant derivatives.

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Savchenko, A. Holomorphically projective mappings of special Kähler manifolds / V. Kiosak, A. Savchenko, T. Shevchenko // American Institute of Physics Conference Proceedings. – 2018. – V. 2025. – AIP Conference Proceedings 2025, 080004 (2018) – P. 080004-1 – 080004-5. doi: 10.1063/1.5064924.

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