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The heat equation and geometry of $\text{CR}$ manifolds
Author(s):
Richard
Beals;
Peter C.
Greiner;
Nancy K.
Stanton
Journal:
Bull. Amer. Math. Soc.
10
(1984),
275-276.
MSC (1980):
Primary 58G99
MathSciNet review:
733694
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References:
- 1.
- M. Atiyah, R. Bott and V. K. Patodi, On the heat equation and the index theorem, Invent. Math. 19 (1973), 279-330; errata, ibid. 28 (1975), 277-280. MR 650828
- 2.
- R. Beals and P. C. Greiner, Pseudodifferential operators associated to hyperplane bundles. Boll. Sem. Mat. Torino (1983), MR 745972
- 3.
- P. Gilkey, Curvature and the eigenvalues of the Laplacian for elliptic complexes, Adv. in Math. 10 (1973), 344-382. MR 324731
- 4.
- H. P. McKean, Jr. and I. M. Singer, Curvature and eigenvalues of the Laplacian, J. Differential Geom. 1 (1967), 43-69. MR 217739
- 5.
- C. M. Stanton, Intrinsic connections for Levi metrics (in preparation).
- 6.
- N. K. Stanton, The fundamental solution of the heat equation associated with the $\bar \partial $- Neumann problem, J. Analyse Math. 34 (1978), 265-274. MR 531278
- 7.
- N. K. Stanton and D. S. Tartakoff, The heat equation for the ${\bar\partial}\sb b$-Laplacian (preprint). MR 745020
- 8.
- M. Taylor, Noncommutative microlocal analysis. I (preprint). MR 764508
- 9.
- S. M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Differential Geom. 13 (1978), 25-41. MR 520599
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15242-X
PII:
S 0273-0979(1984)15242-X
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