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References
L. BERARD BERGERY et J.P. BOURGUIGNON, Laplacian and submersions (to appear).
R. HERMANN, A sufficient condition that a mapping of Riemannian manifolds be a fiber bundle, Proc. Amer. Math. Soc. 11 (1960) p. 236–242.
L. HÖRMANDER, Hypoelliptic second order differential equations, Acta Math. 119 (1967) p. 147–171.
H.MUTO and H.URAKAWA, On the least positive eigenvalue of Laplacian on compact homogeneous spaces, preprint Tôhoku University.
B. O’NEILL, The fundamental equations of a submersion, Michigan Math. J. 13 (1966) p. 459–469.
S. TANNO, The first eigenvalue of the Laplacian on spheres, Tôhoku Math. J. 31 (1979) p. 179–185.
H. URAKAWA, On the least eigenvalue of the Laplacian for compact group manifolds, J. Math. Soc. Japan 31 (1979) p. 209–226.
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Bergery, L.B., Bourguignon, J.P. (1981). Laplacian and riemannian submersions with totally geodesic fibres. In: Ferus, D., Kühnel, W., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088839
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DOI: https://doi.org/10.1007/BFb0088839
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