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NOTES ON ORTHOGONAL ALMOST COMPLEX STRUCTURES ON THE RIEMANNIAN PRODUCTS
Keywords:
orthogonal almost complex structure, compact Riemann surface with negative constant curvature, round sphereDOI:
https://doi.org/10.17654/0972415X25003Abstract
In this paper, we show that there does not exist an orthogonal almost complex structure on a Riemannian product of a compact Riemann surface with negative constant curvature and a round 4-sphere. In addition, we prove that any orthogonal almost complex structure on a Riemannian product of a compact Riemann surface with negative constant curvature and a round 6-sphere is never integrable.
Received: March 6, 2025
Revised: April 11, 2025
Accepted: May 14, 2025
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