What question did this study set out to answer?

This research aims to establish inequalities related to Bochner curvature tensor and Chern forms on specific manifolds.

May 6, 2026Open Access

Inequalities on the Bochner curvature tensor

Key Points

This research aims to establish inequalities related to Bochner curvature tensor and Chern forms on specific manifolds.
Proved inequalities between integrations of Chern forms and Bochner curvature tensor.
Examined compact locally conformal Kähler manifolds satisfying Einstein-type conditions.
Derived additional inequalities for compact Gauduchon surfaces.
Established a proven inequality involving Bochner curvature tensor.
Identified similar inequalities on compact Gauduchon surfaces.

Abstract

Abstract On a compact locally conformal Kähler manifold (which is also Gauduchon) satisfying an Einstein-type condition, an inequality between the integrations of Chern forms and the Bochner curvature tensor is proved. While on a compact Gauduchon surface, two similar inequalities are derived.

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