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In this note, we prove that a special family of Killing potentials on certain Hirzebruch complex surfaces, found by Futaki and Ono [ 18 ], gives rise to new conformally… Click to show full abstract
In this note, we prove that a special family of Killing potentials on certain Hirzebruch complex surfaces, found by Futaki and Ono [ 18 ], gives rise to new conformally Kähler, Einstein–Maxwell metrics. The correspondent Kähler metrics are ambitoric [ 7 , 9 ] but they are not given by the Calabi ansatz [ 31 ]. This answers in positive questions raised in [ 18 , 19 ].
Keywords:
metrics hirzebruch;
hler einstein;
einstein maxwell;
hirzebruch surfaces;
conformally hler;
maxwell metrics
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2020
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Journal Title: Annals of Global Analysis and Geometry
Year Published: 2020
Link to full text (if available)
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recommendations!