Lower bounds for eigenvalues of the Dirac operator on n-spheres with SO(n)-symmetry

2000 ◽  
Vol 32 (4) ◽  
pp. 341-348 ◽  
Author(s):  
Margarita Kraus
Keyword(s):  
Dirac Operator ◽  
Lower Bounds

scholarly journals ON EIGENVALUE ESTIMATES FOR THE SUBMANIFOLD DIRAC OPERATOR

2002 ◽  
Vol 13 (05) ◽  
pp. 533-548 ◽  
Author(s):  
NICOLAS GINOUX ◽  
BERTRAND MOREL
Keyword(s):  
Dirac Operator ◽  
Lower Bounds ◽  
Dirac Operators ◽  
Extrinsic Curvature ◽  
Eigenvalue Estimates ◽  
Killing Spinors ◽  
Spinor Fields ◽  
Twisted Dirac Operators

We give lower bounds for the eigenvalues of the submanifold Dirac operator in terms of intrinsic and extrinsic curvature expressions. We also show that the limiting cases give rise to a class of spinor fields generalizing that of Killing spinors. We conclude by translating these results in terms of intrinsic twisted Dirac operators.

scholarly journals Lower bounds for the eigenvalues of the Spin c Dirac operator on submanifolds

2015 ◽  
Vol 104 (5) ◽  
pp. 451-461
Author(s):  
Roger Nakad ◽  
Julien Roth
Keyword(s):  
Dirac Operator ◽  
Lower Bounds

Lower bounds for the eigenvalues of the basic Dirac operator on a Riemannian foliation

2004 ◽  
Vol 51 (2) ◽  
pp. 166-182 ◽  
Author(s):  
Seoung Dal Jung ◽  
Byung Hak Kim ◽  
Jin Suk Pak
Keyword(s):  
Dirac Operator ◽  
Lower Bounds ◽  
Riemannian Foliation

scholarly journals Conformal lower bounds for the Dirac operator of embedded hypersurfaces

2002 ◽  
Vol 6 (1) ◽  
pp. 23-36 ◽  
Author(s):  
Oussama Hijazi ◽  
Sebastián Montiel ◽  
Xiao Zhang
Keyword(s):  
Dirac Operator ◽  
Lower Bounds
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