scholarly journals On Eigenvalue Estimates for the Weighted Laplacian on Metric Graphs

2002 ◽  
pp. 327-347 ◽  
Author(s):  
Michael Solomyak
Keyword(s):  
Metric Graphs ◽  
Eigenvalue Estimates ◽  
Weighted Laplacian

scholarly journals On the nonlinear Dirac equation on noncompact metric graphs

2021 ◽  
Vol 278 ◽  
pp. 326-357
Author(s):  
William Borrelli ◽  
Raffaele Carlone ◽  
Lorenzo Tentarelli
Keyword(s):  
Dirac Equation ◽  
Metric Graphs ◽  
Nonlinear Dirac Equation

scholarly journals Weighted Laplacian Method and Its Theoretical Applications

2020 ◽  
Vol 768 ◽  
pp. 072032
Author(s):  
Shijie Xu ◽  
Jiayan Fang ◽  
Xiangyang Li
Keyword(s):  
Weighted Laplacian

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 Infinite reduction of divisors on metric graphs

2014 ◽  
Vol 35 ◽  
pp. 67-74 ◽  
Author(s):  
Spencer Backman
Keyword(s):  
Metric Graphs

scholarly journals Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians

2010 ◽  
Vol 348 (21-22) ◽  
pp. 1203-1206 ◽  
Author(s):  
Li Ma ◽  
Sheng-Hua Du
Keyword(s):  
Eigenvalue Estimates
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