The lower bound of the Ricci curvature that yields an infinite discrete spectrum of the Laplacian
- [1] Shizuoka University Department of Mathematics Ohya, Shizuoka 422-8529 (Japan)
Annales de l’institut Fourier (2011)
- Volume: 61, Issue: 4, page 1557-1572
- ISSN: 0373-0956
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topKumura, Hironori. "The lower bound of the Ricci curvature that yields an infinite discrete spectrum of the Laplacian." Annales de l’institut Fourier 61.4 (2011): 1557-1572. <http://eudml.org/doc/219694>.
@article{Kumura2011,
abstract = {This paper discusses the question whether the discrete spectrum of the Laplace-Beltrami operator is infinite or finite. The borderline-behavior of the curvatures for this problem will be completely determined.},
affiliation = {Shizuoka University Department of Mathematics Ohya, Shizuoka 422-8529 (Japan)},
author = {Kumura, Hironori},
journal = {Annales de l’institut Fourier},
keywords = {Laplace-Beltrami operator; discrete spectrum; Ricci curvature},
language = {eng},
number = {4},
pages = {1557-1572},
publisher = {Association des Annales de l’institut Fourier},
title = {The lower bound of the Ricci curvature that yields an infinite discrete spectrum of the Laplacian},
url = {http://eudml.org/doc/219694},
volume = {61},
year = {2011},
}
TY - JOUR
AU - Kumura, Hironori
TI - The lower bound of the Ricci curvature that yields an infinite discrete spectrum of the Laplacian
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 4
SP - 1557
EP - 1572
AB - This paper discusses the question whether the discrete spectrum of the Laplace-Beltrami operator is infinite or finite. The borderline-behavior of the curvatures for this problem will be completely determined.
LA - eng
KW - Laplace-Beltrami operator; discrete spectrum; Ricci curvature
UR - http://eudml.org/doc/219694
ER -
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