Curvature identities derived from the integral formula for the first Pontrjagin number. (English) Zbl 1279.53032
Summary: We give an integral formula for the first Pontryagin number of a compact almost Hermitian surface and derive curvature identities from the integral formula based on the fundamental fact that the first Pontryagin number in the de Rham cohomology group is a topological invariant. Further, we provide some applications of the identities.
MSC:
| 53C20 | Global Riemannian geometry, including pinching |
| 53B20 | Local Riemannian geometry |
| 57R20 | Characteristic classes and numbers in differential topology |
Keywords:
Euh-Park-Sekigawa identity; first Pontryagin number; almost Hermitian surface; Kähler surfaceReferences:
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