Almost complex structures on coframe bundle with Cheeger-Gromoll metric

Abstract

In this paper we introduce several almost complex structures compatible with Cheeger-Gromoll metric on the coframe bundle and investigate their integrability conditions.

Keywords

• Riemannian manifold
• coframe bundle
• horizontal lift
• Cheeger-Gromoll metric
• almost complex structure
• Nijenhuis tensor

References

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