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June 2019 Special Lagrangian Submanifolds and Cohomogeneity One Actions on the Complex Projective Space
Masato ARAI, Kurando BABA
Tokyo J. Math. 42(1): 255-284 (June 2019). DOI: 10.3836/tjm/1502179289

Abstract

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.

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Masato ARAI. Kurando BABA. "Special Lagrangian Submanifolds and Cohomogeneity One Actions on the Complex Projective Space." Tokyo J. Math. 42 (1) 255 - 284, June 2019. https://doi.org/10.3836/tjm/1502179289

Information

Published: June 2019
First available in Project Euclid: 18 July 2019

zbMATH: 07114909
MathSciNet: MR3982058
Digital Object Identifier: 10.3836/tjm/1502179289

Subjects:
Primary: 53C38

Rights: Copyright © 2019 Publication Committee for the Tokyo Journal of Mathematics

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Vol.42 • No. 1 • June 2019
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