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an abstract form of heat equation on manifolds provides a major approach to the atiyah–singer index theorem, and has led to much further work on heat equations in riemannian geometry.
an abstract form of heat equation on manifolds provides a major approach to the atiyah–singer index theorem, and has led to much further work on heat equations in riemannian geometry.
==enlaces externos==*t. tao, 245b, notes 9: the baire category theorem and its banach space consequences
==external links==*t. tao, 245b, notes 9: the baire category theorem and its banach space consequences* encyclopaedia of mathematics article on baire theorem
in 1884 john henry poynting developed equations for the flow of power in an electromagnetic field, poynting's theorem and the poynting vector, which are used in the analysis of wireless energy transfer systems.
in 1884 john henry poynting developed equations for the flow of power in an electromagnetic field, poynting's theorem and the poynting vector, which are used in the analysis of wireless energy transfer systems.
* zenkov, dv, am bloch, and je marsden "the lyapunov-malkin theorem and stabilization of the unicycle with rider".
* zenkov, dv, am bloch, and je marsden "the lyapunov-malkin theorem and stabilization of the unicycle with rider".
by ehresmann's theorem and phillips' theorem on submersions, a proper submersion of manifolds is a fiber bundle, hence codimension/relative dimension 0 immersions/submersions behave like submersions.
by ehresmann's theorem and phillips' theorem on submersions, a proper submersion of manifolds is a fiber bundle, hence codimension/relative dimension 0 immersions/submersions behave like submersions.