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ON VANISHING THEOREMS FOR GEOMETRIC INFINITESIMAL AUTOMORPHISMS ON A CLOSED RIEMANNIAN MANIFOLD

박홍경
장전수학회 (Jangjeon Mathematical Society)|2011.01|Advanced Studies in Contemporary Mathematics|제21권 제1호|pp. 115-118

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참고문헌

키워드

conformal vector fieldKilling vector fieldvanishing theoremλ-automorphismpro-jective vector fieldJacobi vector fieldBochner technique.
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초록

In the present paper we consider the notion of λ-automorphisms. From this point of view, we give extensions of Bochner's vanishing theorems for geometric in¯nitesimal automorphisms on a closed Riemannian manifold in a uni¯ed way.

Abstract

In the present paper we consider the notion of λ-automorphisms. From this point of view, we give extensions of Bochner's vanishing theorems for geometric in¯nitesimal automorphisms on a closed Riemannian manifold in a uni¯ed way.

참고문헌 (5)

  1. S. Bochner, "Vector fields and Ricci curvature", Bull. Amer. Math. Soc, 52, pp.776~797 (1946)
  2. R. Couty, "Transformations infinitesimales projectives", Compt. Rend, 247, pp.804~806 (1958)
  3. H.Wu, "The Bochner technique in differential geometry, Math. Reports 3" (1988), Harwood Aca-demic Publishers
  4. K. Yano, "On harmonic and Killing vector fields", Ann. Math, 55, pp.38~45 (1952)
  5. K.Yano, "Integral formulas in Riemannian geometry" (1970), Marcel Dekker Inc

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