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Integral Identities and Rigidity of Generalized $m$-Quasi-Einstein Manifolds
We establish differential and integral identities for closed generalized $m$-quasi-Einstein manifolds $(M^n,g,X,λ)$. These identities yield criteria for conformality, the Killing condition, and triviality, and provide a unified framework for several rigidity phenomena. Afther this, we recast the int
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