Isoperimetric Constants of Manifolds with Small Handles.
Isaac Chavel, Edgar A. Feldmann (1983)
Mathematische Zeitschrift
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Isaac Chavel, Edgar A. Feldmann (1983)
Mathematische Zeitschrift
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Harold Donnelly, Peter Li (1980)
Mathematische Zeitschrift
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Seiichi Udagawa (1988)
Colloquium Mathematicae
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Shiu-Yuen Cheng (1975)
Mathematische Zeitschrift
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Peter Li, Jia Qing Zhong (1981/82)
Inventiones mathematicae
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Bernd Ammann (1997-1998)
Séminaire de théorie spectrale et géométrie
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Peter Li, Andrejs E. Treibergs (1982)
Inventiones mathematicae
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Wenmin Gong, Guangcun Lu (2016)
Annales Polonici Mathematici
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We establish lower and upper eigenvalue estimates for Dirac operators in different settings, a new Kirchberg type estimate for the first eigenvalue of the Dirac operator on a compact Kähler spin manifold in terms of the energy momentum tensor, and an upper bound for the smallest eigenvalues of the twisted Dirac operator on Legendrian submanifolds of Sasakian manifolds. The sharpness of those estimates is also discussed.
Mingliang Cai (1993)
Mathematische Zeitschrift
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Nakad, Roger (2011)
Advances in Mathematical Physics
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Albert Schneider (1974)
Mathematische Zeitschrift
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Y.Y. Baldin, Maria H. Noronha (1987)
Mathematische Zeitschrift
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Andrei Moroianu (1999)
Annales de l'institut Fourier
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We describe all compact spin Kähler manifolds of even complex dimension and positive scalar curvature with least possible first eigenvalue of the Dirac operator.