ON THE SPECTRUM OF THE $\rho-LAPLACIAN$ ON QUATERNIONIC KAEHLER MANIFOLDS

  • Kang, Tae-Ho (Department of Mathematics, University of Ulsan) ;
  • Pak, Jin-Suk (Department of Mathematics, Kyungpook National University)
  • Published : 2000.11.01

Abstract

We study some spectral properties of the $\rho-Laplacian$ on quaternionic Kaehler manifolds.

Keywords

References

  1. J. Diff. Geometry v.9 Quaternion Kaehler manifolds S. Ishihara
  2. J. Korean Math. Soc. v.32 no.2 Some Remarks for the spectrum of the p-Laplacian on Sasakian manifolds T. H. Kang;J. S. Pak
  3. J. Korean Math. Soc. v.35 no.4 Quaternionically projective correspondence on on almost quaternionic structure U-Hang Ki;J. S. Pak;D. W. Yoon
  4. J. Indian Math. Soc. v.34 Curvature and the fundamental solution of the heat operator V. K. Patodi
  5. An. Univ. Timisoara seria st. matematice v.XXXV On the spectrum of the Laplacian on p-forms M. Puta;A. Torok
  6. Rendiconti di Matematica v.11 The spectrum of the p-Laplacian on Kahler manifold M. Puta;A. Torok
  7. Proc. Amer. Math. Soc. v.45 The spectrum of the Laplacian for 1-forms S. Tanno
  8. Proc. Amer. Math. Soc. v.73 The geometry and the Laplace operator on the exterior 2-forms on a compact manifold G. Tsagas;C. Kockinos