使乳化 发表于 2025-3-23 11:16:59

Euler Equations for Variational Problems in Homogeneous Spaces,It is well-known that a general curve γ⊂IE. has a Frenet frame.

极深 发表于 2025-3-23 17:07:29

Endpoint Conditions; Jacobi Equations and the 2nd Variation; the Hamilton-Jacobi Equation,We consider a variational problem (I, ω; φ) with one independent variable on a manifold X.

MULTI 发表于 2025-3-23 21:06:04

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单调性 发表于 2025-3-24 02:02:20

Preliminaries,the point p is T.(M), and the tangent bundle is .. We sometimes write points in T(M) as (p, v) where p∈M and v∈T.(M). A local coordinate system (x. ) on M induces a local coordinate system . on T(M) where p has coordinates (x.,...,x.) and .. ..

MIR 发表于 2025-3-24 02:28:31

Progress in Mathematicshttp://image.papertrans.cn/e/image/319872.jpg

Adenocarcinoma 发表于 2025-3-24 10:01:57

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脆弱么 发表于 2025-3-24 13:41:37

Exterior Differential Systems and the Calculus of Variations978-1-4615-8166-6Series ISSN 0743-1643 Series E-ISSN 2296-505X

surrogate 发表于 2025-3-24 17:37:56

https://doi.org/10.1007/978-1-4615-8166-6Calculus of Variations; integral; manifold; variational problem

flavonoids 发表于 2025-3-24 19:26:41

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把…比做 发表于 2025-3-25 01:37:54

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查看完整版本: Titlebook: Exterior Differential Systems and the Calculus of Variations; Phillip A. Griffiths Book 1983 Springer Science+Business Media New York 1983