Universal curvature identities and Euler–Lagrange formulas for Kähler manifolds

Peter B. Gilkey; JeongHyeong Park; Kouei Sekigawa

doi:10.2969/jmsj/06820459

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Universal curvature identities and Euler–Lagrange formulas for Kähler manifolds

Peter B. Gilkey, JeongHyeong Park, Kouei Sekigawa

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Keywords: universal curvature identities, Kähler manifolds, Euler–Lagrange formulas

JOURNAL FREE ACCESS

2016 Volume 68 Issue 2 Pages 459-487

DOI https://doi.org/10.2969/jmsj/06820459

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Abstract

We relate certain universal curvature identities for Kähler manifolds to the Euler–Lagrange equations of the scalar invariants which are defined by pairing characteristic forms with powers of the Kähler form.

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