Abstract:Amongst the syntactic attributes of a substantivized adjective or participle some are normal in the sense that they semantically modify the noun, whereas others are arguments inherited, so to speak, from the corre- sponding adjective or verb. One of these arguments is expressed by the substantivized word itself, but there may also be one, or even two, addi- tional arguments expressed by case forms, prepositional phrases, verbs in the infinitive, or adverbs.
In this survey, we consider one aspect of the Bochner technique, the proof of vanishing theorems by using the Weitzenbock integral formulas, which allows us to extend the technique to pseudo-Riemannian manifolds and equiaffine connection manifolds.
In this survey, we consider one aspect of the Bochner technique, the proof of vanishing theorems by using the Weitzenbock integral formulas, which allows us to extend the technique to pseudo-Riemannian manifolds and equiaffine connection manifolds.
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