August 11, 2025Complex ManifoldsOpen Access

Complex structures on product manifolds

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Authors

LBLeonardo BiliottiUniversity of Parma AMAlessandro MinuzzoUniversity of Parma

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Implication

This article defines almost-complex structures and their integrability in Kähler manifolds, indicating applications to Stiefel and Calabi-Eckmann manifolds.

Key Points

The study finds necessary and sufficient conditions for integrability of almost-complex structures on product manifolds, enhancing geometric understanding.
It provides explicit holomorphic charts for the Kähler manifold formed from two Kähler manifolds, enhancing analytic tools in complex geometry.
The approach utilizes the Meyer-Marsden-Weinstein quotient in the context of Lie group actions on manifolds, demonstrating geometric interactions.
This work highlights implications for Kähler geometry and complex manifold theory, with specific applications to non-integrable structures.

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Biliotti et al. (2025) studied this question.

synapsesocial.com/papers/68a35eeb0a429f7973327d74 https://doi.org/10.1515/coma-2025-0015

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Implication

This article defines almost-complex structures and their integrability in Kähler manifolds, indicating applications to Stiefel and Calabi-Eckmann manifolds.

Complex structures on product manifolds

Discussion

Member takes

Implication

Key Points

Cite This Study

Complex structures on product manifolds

Discussion

Member takes

Implication

Key Points

Cite This Study

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