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| The Dirac Equation on Metrics of Eguchi-Hanson Type II with Negative Constant Scalar Curvature* |
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Citation： |
Junwen CHEN,Xiaoman XUE,Xiao ZHANG.The Dirac Equation on Metrics of Eguchi-Hanson Type II with Negative Constant Scalar Curvature*[J].Chinese Annals of Mathematics B,2023,44(6):893~912 |
| Page view： 1238
Net amount： 729 |
Authors： |
Junwen CHEN; Xiaoman XUE;Xiao ZHANG |
Foundation： |
Special Foundations for Guangxi Ba Gui Scholars and Junwu Scholars of Guangxi University |
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| Abstract： |
On metrics of Eguchi-Hanson type II with negative constant Ricci curvatures,the authors show that there is no nontrivial Killing spinor. On metrics of Eguchi-Hanson type II with negative constant scalar curvature, they show that there is no nontrivial Lp eigenspinor for 0 < p < 2 if the eigenvalue has nontrivial real part, and no nontrivial L2 eigenspinor if either the eigenvalue has trivial real part or the eigenvalue is real, the eigenspinor is isotropic and the parameter η in radial and angular equations for eigenspinors is real. They also solve harmonic spinors and eigenspinors explicitly on metrics of EguchiHanson type II with certain special potentials. |
Keywords： |
Metric of Eguchi-Hanson type II, Killing spinor, Eigenspinor |
Classification： |
53C27, 83C99 |
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