Chern classes of spherical CR manifolds

• Autores: Yuya Takeuchi
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 23, Nº 1, 2022, págs. 1-13
• Idioma: inglés
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• Resumen

  • We first construct closed spherical CR manifolds of dimension at least five having non-trivial first Chern class with real coefficients. We next prove a constraint on Chern classes with real coefficients of (not necessarily closed) spherical CR manifolds. Finally, we obtain a topological obstruction to the existence of spherical CR structures on co-oriented contact manifolds.