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math.DGOct 1, 2008
12
citations (OpenAlex)
authors
  • Liviu Ornea
  • Radu Pantilie
institutions
  • IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române
  • University of Bucharest
arXiv abstractPDF
paper

On holomorphic maps and Generalized Complex Geometry

arXiv:0810.1865 · doi:10.1016/j.geomphys.2011.03.017

Abstract

We introduce a natural notion of holomorphic map between generalized complex manifolds and we prove some related results on Dirac structures and generalized Kaehler manifolds.

slightly changed title; minor corrections done

References in corpus (5)

  • Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
  • Generalized holomorphic bundles and the B-field action
  • Poisson geometry and Morita equivalence
  • Twistor Theory for CR quaternionic manifolds and related structures
  • Geometry of Maurer-Cartan Elements on Complex Manifolds

Cited by in corpus (5)

  • Generalized almost paracontact structures
  • Generalized Quaternionic Manifolds
  • The Atiyah class of generalized holomorphic vector bundles
  • A simple construction of generalized complex manifolds
  • A note on submanifolds and mappings in generalized complex geometry
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