Sufficient decrease principle on Riemannian manifolds.
Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Jacek Świątkowski (1992)
Colloquium Mathematicae
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Stanisław Formella (1995)
Colloquium Mathematicae
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Jürgen Eichhorn, Gerd Heber (1997)
Banach Center Publications
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We define suitable Sobolev topologies on the space of connections of bounded geometry and finite Yang-Mills action and the gauge group and show that the corresponding configuration space is a stratified space. The underlying open manifold is assumed to have bounded geometry.
Chen, Wenjing, Yang, Jianfu (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ugo Boscain, Mario Sigalotti (2006-2007)
Séminaire de théorie spectrale et géométrie
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Let and be two smooth vector fields on a two-dimensional manifold . If and are everywhere linearly independent, then they define a Riemannian metric on (the metric for which they are orthonormal) and they give to the structure of metric space. If and become linearly dependent somewhere on , then the corresponding Riemannian metric has singularities, but under generic conditions the metric structure is still well defined. Metric structures that can be defined locally...
Paweł Walczak (1993)
Colloquium Mathematicae
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Michael Kunzinger, Hermann Schichl, Roland Steinbauer, James A. Vickers (2006)
Revista Matemática Complutense
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We prove Gronwall-type estimates for the distance of integral curves of smooth vector fields on a Riemannian manifold. Such estimates are of central importance for all methods of solving ODEs in a verified way, i.e., with full control of roundoff errors. Our results may therefore be seen as a prerequisite for the generalization of such methods to the setting of Riemannian manifolds.