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Harmonic and Killing forms on complete Riemannian manifolds

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1255)

Keywords

  • Riemannian Manifold
  • Ricci Curvature
  • Complete Riemannian Manifold
  • Harmonic Form
  • Killing Form

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References

  1. K.Yano, Integral formulas in Riemannian Geometry, Marcel Dekker In C., 1970.

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  2. S. Yorozu, Killing vector fields on complete Riemannian manifolds, Proc. Amer. Math. Soc., 84(1982), 115–120.

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  3. S. Yorozu, Killing vector fields on noncompact Riemannian manifolds with boundary, Kodai Math. J., 5(1982), 426–433.

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  4. S.T. Yau, Some functional theoretic properties of complete Riemannian manifolds and their applications to geometry, Indiana Univ. Math. J., 25(1976), 659–670.

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  5. J.Dodziuk, Vanishing theorems for square integrable harmonic forms, Geometry and Analysis, Papers dedicated to the memory of V.K.Patodi., 21–27. Springer-Verlag, 1981.

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  6. S.S.Chern and Chen Wei-Huan, Lectures on Differential Geometry, Beijing Univ. Press., 1983. (in Chinese)

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© 1987 Springer-Verlag

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Zheng, Y.F. (1987). Harmonic and Killing forms on complete Riemannian manifolds. In: Gu, C., Berger, M., Bryant, R.L. (eds) Differential Geometry and Differential Equations. Lecture Notes in Mathematics, vol 1255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077694

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  • DOI: https://doi.org/10.1007/BFb0077694

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17849-1

  • Online ISBN: 978-3-540-47883-6

  • eBook Packages: Springer Book Archive