Keywords
- Riemannian Manifold
- Ricci Curvature
- Complete Riemannian Manifold
- Harmonic Form
- Killing Form
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References
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S. Yorozu, Killing vector fields on complete Riemannian manifolds, Proc. Amer. Math. Soc., 84(1982), 115–120.
S. Yorozu, Killing vector fields on noncompact Riemannian manifolds with boundary, Kodai Math. J., 5(1982), 426–433.
S.T. Yau, Some functional theoretic properties of complete Riemannian manifolds and their applications to geometry, Indiana Univ. Math. J., 25(1976), 659–670.
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.
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
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