deferential 发表于 2025-3-21 17:27:48
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Basic Morse Theorye the Morse isotopy lemma which gives a criterion when two suitable level sets of a smooth function are diffeomorphic. We conclude the chapter by extending the notion of nondegenerate critical point to a nondegenerate critical submanifold.Spina-Bifida 发表于 2025-3-22 10:39:04
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Fundamental conceptsectic manifold, which is a Lie algebra under Poisson bracket, is made into an algebra using pointwise multiplication of smooth functions, we obtain a Poisson algebra. The symplectic formulation of mechanics can be recovered from this Poisson algebra.嘴唇可修剪 发表于 2025-3-22 17:59:32
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Human Resources, Employment and Developmentverns the motion of two bodies in .. under gravitational attraction. We give two methods to regularize the flow of the Kepler vector field: one energy surface by energy surface and the other for all negative energies at once.转换 发表于 2025-3-23 08:48:07
Context 1997–2003: History and Politicsly lifted to a horizontal curve in .. An Ehresmann connection is good if every smooth curve in . has a global horizontal lift. For good connections we define the notions of parallel translation and holonomy.