arXiv Open Access 2025

Toric geometry of generalized Kähler-Ricci solitons

Vestislav Apostolov Giuseppe Barbaro Jeffrey Streets Yury Ustinovskiy

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Abstrak

We establish a local equivalence between toric steady Kähler-Ricci solitons and $A$-type toric generalized Kähler-Ricci solitons (GKRS). Under natural global conditions we show this equivalence extends to complete GKRS, yielding a general construction of new examples in all dimensions. We show that in four dimensions, all GKRS are either described by the generalized Kähler Gibbons-Hawking ansatz, or have split tangent bundle, or are $A$-type toric. This yields a local classification in four dimensions, together with a conjecturally exhaustive construction of complete symplectic-type examples.

Topik & Kata Kunci

math.DG math.CV

Penulis (4)

Vestislav Apostolov

Giuseppe Barbaro

Jeffrey Streets

Yury Ustinovskiy

Format Sitasi

APA MLA BibTeX

Apostolov, V., Barbaro, G., Streets, J., Ustinovskiy, Y. (2025). Toric geometry of generalized Kähler-Ricci solitons. https://arxiv.org/abs/2509.01639

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓