The Dirac operator on homogeneous spaces and its spectrum on 3-dimensional lens spaces

1992 ◽  
Vol 59 (1) ◽  
pp. 65-79 ◽  
Author(s):  
Christian B�r
Keyword(s):  
Dirac Operator ◽  
Homogeneous Spaces ◽  
Lens Spaces ◽  
3 Dimensional

Isometry classes of 3 dimensional lens spaces

2002 ◽  
Vol 13 (7) ◽  
pp. 295-299
Author(s):  
Michel Cahen ◽  
Mohamed Chaibi
Keyword(s):  
Lens Spaces ◽  
3 Dimensional

scholarly journals A Class of -Dimensional Dirac Operators with a Variable Mass

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Asao Arai ◽  
Dayantsolmon Dagva
Keyword(s):  
Dirac Operator ◽  
Nuclear Physics ◽  
Variable Mass ◽  
Dirac Operators ◽  
Soliton Model ◽  
3 Dimensional ◽  
Special Case

A class of d-dimensional Dirac operators with a variable mass is introduced (), which includes, as a special case, the 3-dimensional Dirac operator describing the chiral quark soliton model in nuclear physics, and some aspects of it are investigated.

scholarly journals Isospectrality for Orbifold Lens Spaces

2019 ◽  
Vol 72 (2) ◽  
pp. 281-325 ◽  
Author(s):  
Naveed S. Bari ◽  
Eugenie Hunsicker
Keyword(s):  
Asymptotic Expansion ◽  
Heat Kernel ◽  
Lens Spaces ◽  
3 Dimensional

AbstractWe answer Mark Kac’s famous question, “Can one hear the shape of a drum?” in the positive for orbifolds that are 3-dimensional and 4-dimensional lens spaces; we thus complete the answer to this question for orbifold lens spaces in all dimensions. We also show that the coefficients of the asymptotic expansion of the trace of the heat kernel are not sufficient to determine the above results.

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