Results 171 to 180 of about 1,504 (198)
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Isometric immersions of Riemannian Spaces in Euclidean Spaces
Journal of Soviet Mathematics, 1980Questions of the theory of isometric immersions of Riemannian spaces in Euclidean spaces beginning with the very first results onthis topic and also results on immersions of pseudo-Riemannian spaces in pseudo-Euclidean spaces and applications of the theory of immersions in the general theory of relativity are considered.
Poznyak, Eh. G., Sokolov, D. D.
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Totally regular isometric immersions in Euclidean space
Siberian Mathematical Journal, 1970exaly +3 more sources
Image Manifolds which are Isometric to Euclidean Space
Journal of Mathematical Imaging and Vision, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David L. Donoho, Carrie Grimes
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Isometric immersions of domains of Lobachevski space in Euclidean spaces
Journal of Mathematical Sciences, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu A Aminov
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A K�hler structure on the moduli space of isometric maps of a circle into Euclidean space
Inventiones Mathematicae, 1996 The authors prove that the spaces \(\mathcal M\) and \({\mathcal M}_{\text{Lip}}'\) of smooth (resp. nondegenerate Lipschitz) isometric maps of a circle into Euclidean space modulo orientation preserving Euclidean motions, have the structure of infinite-dimensional Kähler manifolds. In particular, they are complex Fréchet (resp. Banach) manifolds. This
John J Millson
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On the isometric minimal immersion into a euclidean space
Acta Mathematica Sinica, English Series, 1999The author studies the volume growth of geodesic balls of submanifolds in a Euclidean space with bounded mean curvature. He gives a necessary condition for isometric minimal immersion into a Euclidean space. A classification of non-positively curved minimal hypersurfaces in Euclidean space is also abtained.
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Isometric immersions of complete Kaehler manifolds into Euclidean spaces
Archiv Der Mathematik, 1982 Archiv Der ...
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On isometric immersions of Riemannian manifolds in euclidean space
Sociedade Brasileira De Matematica Boletim, Nova Serie, 1970exaly +2 more sources
A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space
The American Mathematical Monthly, 2017AbstractWe present geometric proofs of Menger's results on isometrically embedding metric spaces in Euclidean space.
John Christopher Bowers +1 more
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Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement
Journal of the Optical Society of America A, 2007Isometric embedding of non-Euclidean color spaces into Euclidean color spaces is investigated. Owing to regions of nonzero Gaussian curvature within common non-Euclidean color spaces, we focus on the determination of transformations into Euclidean spaces with minimal isometric disagreement.
Philipp, Urban +3 more
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