most citedKähler identities for almost complex manifolds

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math.DG2022★ 1 cited

Kähler identities for almost complex manifolds

Luis Fernandez, Samuel Hosmer

We obtain a generalization, for a general compact almost complex manifold, of the well-known Kähler (or Hodge) identities for Kähler manifolds involving the commutators of the exte…

math.DG2021

Almost complex manifolds with small Nijenhuis tensor

Luis Fernandez, Tobias Shin, Scott O. Wilson

We give several explicit examples of compact manifolds with a -parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the -norm. The …