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The first eigenvalue of the laplacian for a positively curved homogeneous riemannian manifold

Hajime Urakawa

Compositio Mathematica (1986)

  • Volume: 59, Issue: 1, page 57-71
  • ISSN: 0010-437X

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Urakawa, Hajime. "The first eigenvalue of the laplacian for a positively curved homogeneous riemannian manifold." Compositio Mathematica 59.1 (1986): 57-71. <http://eudml.org/doc/89782>.

@article{Urakawa1986,
author = {Urakawa, Hajime},
journal = {Compositio Mathematica},
keywords = {symmetric spaces; homogeneous space; first eigenvalue; Laplacian; harmonic map},
language = {eng},
number = {1},
pages = {57-71},
publisher = {Martinus Nijhoff Publishers},
title = {The first eigenvalue of the laplacian for a positively curved homogeneous riemannian manifold},
url = {http://eudml.org/doc/89782},
volume = {59},
year = {1986},
}

TY - JOUR
AU - Urakawa, Hajime
TI - The first eigenvalue of the laplacian for a positively curved homogeneous riemannian manifold
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 59
IS - 1
SP - 57
EP - 71
LA - eng
KW - symmetric spaces; homogeneous space; first eigenvalue; Laplacian; harmonic map
UR - http://eudml.org/doc/89782
ER -

References

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  7. [B] M. Berger: Les variétés riemanniennes homogenes normales simplement connexes a courbure strictement positive. Ann. Scuol. Norm. Sup. Pisa, 15 (1961) 179-246. Zbl0101.14201MR133083
  8. [Bo] N. Bourbaki: Groupes et algèbres de Lie, Chap. 4, 5 et 6, Paris: Herman (1968). Zbl0483.22001MR240238
  9. [CW] R.S. Cahn and J.A. Wolf: Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one. Comment. Math. Helv., 51 (1976) 1-21. Zbl0327.43013MR397801
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  11. [H] H.M. Huang: Some remarks on the pinching problems. Bull. Inst. Math. Acad. Sinica, 9 (1981) 321-340. Zbl0477.53043MR625725
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  13. [KN] S. Kobayashi and K. Nomizu: Foundations of differential geometry, II, New York: Interscience (1969). Zbl0175.48504
  14. [LT] P. Li and A.E. Treibergs: Pinching theorem for the first eigenvalue on positively curved four-manifolds. Invent. Math., 66 (1982) 35-38. Zbl0496.53032MR652644
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