THE ENERGY-MOMENTUM TENSOR ON LOW DIMENSIONAL Spinc MANIFOLDS
2012 ◽
Vol 23
(09)
◽
pp. 1250090
◽
Keyword(s):
On a compact surface endowed with any Spinc structure, we give a formula involving the Energy-Momentum tensor in terms of geometric quantities. A new proof of a Bär-type inequality for the eigenvalues of the Dirac operator is given. The round sphere 𝕊2 with its canonical Spinc structure satisfies the limiting case. Finally, we give a spinorial characterization of immersed surfaces in 𝕊2 × ℝ by solutions of the generalized Killing spinor equation associated with the induced Spinc structure on 𝕊2 × ℝ.
1982 ◽
Vol 27
(1)
◽
pp. 121-127
◽
2011 ◽
Vol 20
(02)
◽
pp. 161-168
◽
Keyword(s):
1958 ◽
Vol 54
(1)
◽
pp. 72-80
◽
1991 ◽
Vol 435
(1895)
◽
pp. 645-657
◽
Keyword(s):