Higher Order Fermionic and Bosonic Operators on Cylinders and Hopf Manifolds

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Authors

  • Chao Ding
     Department of Mathematics, University of Arkansas, Fayetteville, Arkansas, 72701 ,US
  • Raymond Walter
     Department of Mathematics, Department of Physics, University of Arkansas, Fayetteville, Arkansas, 72701 ,US
  • John Ryan
     Department of Mathematics, University of Arkansas, Fayetteville, Arkansas, 72701 ,US

Keywords:

Fermionic and Bosonic Operators, Conformally Flat Manifolds, Kleinian Group, Fundamental Solutions.

Abstract

Higher order higher spin operators are generalizations of kth-powers of the Dirac operator. In this paper, we study higher order higher spin operators defined on some conformally flat manifolds, namely cylinders and Hopf manifolds. We will also construct the kernels of these operators on these manifolds.

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Published

2016-12-01

How to Cite

Ding, C., Walter, R., & Ryan, J. (2016). Higher Order Fermionic and Bosonic Operators on Cylinders and Hopf Manifolds. The Journal of the Indian Mathematical Society, 83(3-4), 231–240. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/6606

Issue

Volume 83, Issue 3-4, July-December 2016

Section

Articles

License

Copyright (c) 2016 Chao Ding, Raymond Walter, John Ryan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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