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VARIATIONAL STABILITY AND LOCAL RIGIDITY OF EINSTEIN METRICS

Mitsuhiro Itoh、Tomomi Nakagawa

2005Institutional Repositories DataBase (IRDB)Mathematics被引 5开放获取

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摘要

Certain curvature conditions for variational stability of Einstein metrics are given. The argument of Besson, Courtois and Gallot, developed in [2], is improved in terms of the Weyl curvature operator and the scalar curvature. For compact Kahler-Einstein manifolds ＄(M, g, J)＄ we can show that the infinitesimal rigidity of complex structures ＄J＄ is equivalent to the variational stability of Einstein metrics ＄g＄ .

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Mitsuhiro Itoh, Tomomi Nakagawa. VARIATIONAL STABILITY AND LOCAL RIGIDITY OF EINSTEIN METRICS[J]. Institutional Repositories DataBase (IRDB), 2005.

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