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Award ID contains: 2003223

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  1. ; (, Memoirs of the American Mathematical Society)
    We introduce a systematic method to solve a type of Cartan’s realization problem. Our method builds upon a new theory of Lie algebroids and Lie groupoids with structure group and connection. This approach allows to find local as well as complete solutions, their symmetries, and to determine the moduli spaces of local and complete solutions. We illustrate our method with the problem of classification of extremal Kähler metrics on surfaces. 
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    Free, publicly-accessible full text available February 1, 2026
  2. ; (, Journal of Geometry and Physics)
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  3. ; (, Advances in Mathematics)
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  4. ; (, São Paulo Journal of Mathematical Sciences)
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  5. (, WORLD SCIENTIFIC)
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  6. ; (, Journal of Geometric Mechanics)
    We survey recent results on the local and global integrability of a Lie algebroid, as well as the integrability of infinitesimal multiplicative geometric structures on it. 
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