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Titlebook: Nonlinear Methods in Riemannian and Kählerian Geometry; Jürgen Jost Book 19881st edition Birkhäuser Basel 1988 Mathematik.Minimal surface.

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Geometric Preliminaries,In this chapter, we assemble some basic material concerning connections on Riemannian, complex, and Kähler manifolds, and derive the nonlinear partial differential equations dealt with in this book, namely the harmonic map and Yang-Mills equations.
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The heat flow on manifolds. Existence and uniqueness of harmonic maps into nonpositively curved imaIn order to warm up, we shall first present the linear case, i.e. look at .where ., where . is a compact Riemannian manifold of dimension ., and .(·, .) and .. are k-formson ..
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Oberwolfach Seminarshttp://image.papertrans.cn/n/image/667555.jpg
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https://doi.org/10.1007/978-3-0348-7690-2Mathematik; Minimal surface; attention; curvature; differential geometry; manifold; system
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Some principles of analysis,d one knows a solution u. for . = 0, i.e. .and one wants to find a solution u..for all ., in particular either for . = 1 or for .→ ∞, and in the latter case one would like to have convergence of u. as .→ ∞.
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L. A. Lugiato,L. M. Narducci,R. Lefeversuchungen so viel Zeit in Anspruch, daß die Wirkung der Belastungsprobe mehr oder weniger abgeklungen sein wird, bevor die Untersuchungen sämtlich beendigt sein würden. Wir müssen uns also darauf beschränken, bestimmte, besonders wichtige Kreislaufsfunktionen zu prüfen, und hoffen, daß das Verhalten
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