Abstract
The method of construction of the fundamental solution for heat equations using pseudo-differential operators with parameter time variable is discussed, which is applicable to calculate traces of operators. This gives extensions of both the Gauss-Bonnet-Chern Theorem and the Riemann-Roch Theorem.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Iwasaki, C. (2006). Symbolic Calculus of Pseudo-differential Operators and Curvature of Manifolds. In: Toft, J. (eds) Modern Trends in Pseudo-Differential Operators. Operator Theory: Advances and Applications, vol 172. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8116-5_3
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DOI: https://doi.org/10.1007/978-3-7643-8116-5_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8097-7
Online ISBN: 978-3-7643-8116-5
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