Special Lagrangian submanifolds and cohomogeneity one actions on the complex projective space
| Autor: | Masato Arai, Kurando Baba |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics Calibration (statistics) General Mathematics Complex projective space 010102 general mathematics Structure (category theory) 01 natural sciences 53C38 53C38 (Primary) symbols.namesake Differential Geometry (math.DG) Ordinary differential equation 0103 physical sciences FOS: Mathematics symbols Calabi–Yau manifold Cotangent bundle 010307 mathematical physics Mathematics::Differential Geometry 0101 mathematics Moment map Mathematics::Symplectic Geometry Lagrangian Mathematics |
| Zdroj: | Tokyo J. Math. 42, no. 1 (2019), 255-284 |
| Popis: | We construct examples of cohomogeneity one special Lagrangian submanifolds in the cotangent bundle over the complex projective space, whose Calabi-Yau structure was given by Stenzel. For each example, we describe the condition of special Lagrangian as an ordinary differential equation. Our method is based on a moment map technique and the classification of cohomogeneity one actions on the complex projective space classified by Takagi. 14 pages |
| Databáze: | OpenAIRE |
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