The heat equation and geometry of $\text {CR}$ manifolds
HTML articles powered by AMS MathViewer
- by Richard Beals, Peter C. Greiner and Nancy K. Stanton PDF
- Bull. Amer. Math. Soc. 10 (1984), 275-276
References
- M. Atiyah, R. Bott, and V. K. Patodi, On the heat equation and the index theorem, Invent. Math. 19 (1973), 279β330. MR 650828, DOI 10.1007/BF01425417
- Richard Beals and Peter C. Greiner, Pseudodifferential operators associated to hyperplane bundles, Rend. Sem. Mat. Univ. Politec. Torino Special Issue (1983), 7β40 (1984). Conference on linear partial and pseudodifferential operators (Torino, 1982). MR 745972
- Peter B. Gilkey, Curvature and the eigenvalues of the Laplacian for elliptic complexes, Advances in Math. 10 (1973), 344β382. MR 324731, DOI 10.1016/0001-8708(73)90119-9
- H. P. McKean Jr. and I. M. Singer, Curvature and the eigenvalues of the Laplacian, J. Differential Geometry 1 (1967), no.Β 1, 43β69. MR 217739 5. C. M. Stanton, Intrinsic connections for Levi metrics (in preparation).
- Nancy K. Stanton, The fundamental solution of the heat equation associated with the $\bar \partial$-Neumann problem, J. Analyse Math. 34 (1978), 265β274 (1979). MR 531278, DOI 10.1007/BF02790015
- Nancy K. Stanton and David S. Tartakoff, The heat equation for the $\bar \partial _{b}$-Laplacian, Comm. Partial Differential Equations 9 (1984), no.Β 7, 597β686. MR 745020, DOI 10.1080/03605308408820343
- Michael E. Taylor, Noncommutative microlocal analysis. I, Mem. Amer. Math. Soc. 52 (1984), no.Β 313, iv+182. MR 764508, DOI 10.1090/memo/0313
- S. M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Differential Geometry 13 (1978), no.Β 1, 25β41. MR 520599, DOI 10.4310/jdg/1214434345
Additional Information
- Journal: Bull. Amer. Math. Soc. 10 (1984), 275-276
- MSC (1980): Primary 58G99
- DOI: https://doi.org/10.1090/S0273-0979-1984-15242-X
- MathSciNet review: 733694