Generalized Curvatures
The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E ,), endowed with its standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E , e...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Springer e-books
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Geometry and Computing
2 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
L'impression du document génère 246 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Generalized curvatures, Jean-Marie Morvan, 2008, Berlin, Springer, 1 volume (XI-266 pages.), Geometry and Computing, 978-3-540-73791-9 |
| LEADER | 04414nam a22004457a 4500 | ||
|---|---|---|---|
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| 008 | 080829q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN127048499 | ||
| 020 | |a 9783540737926 | ||
| 041 | 0 | |a eng | |
| 082 | |a 518 | ||
| 082 | |a 518 | ||
| 084 | |a 52-XX. 2010 | ||
| 084 | |a 53A04. 2010 | ||
| 084 | |a 53A05. 2010 | ||
| 084 | |a 53C20. 2010 | ||
| 084 | |a 49Q15. 2010 | ||
| 100 | 1 | |a Morvan, Jean-Marie, |d 1953-...., |c professeur de mathématiques. | |
| 245 | 1 | 0 | |a Generalized Curvatures |c Jean-Marie Morvan. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Geometry and Computing |v 2 | |
| 500 | |a L'impression du document génère 246 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Motivations Motivation: Curves Motivation: Surfaces Background: Metrics and Measures Distance and Projection Elements of Measure Theory Background: Polyhedra and Convex Subsets Polyhedra Convex Subsets Background: Classical Tools in Differential Geometry Differential Forms and Densities on EN Measures on Manifolds Background on Riemannian Geometry Riemannian Submanifolds Currents On Volume Approximation of the Volume Approximation of the Length of Curves Approximation of the Area of Surfaces The Steiner Formula The Steiner Formula for Convex Subsets Tubes Formula Subsets of Positive Reach The Theory of Normal Cycles Invariant Forms The Normal Cycle Curvature Measures of Geometric Sets Second Fundamental Measure Applications to Curves and Surfaces Curvature Measures in E2 Curvature Measures in E3 Approximation of the Curvature of Curves Approximation of the Curvatures of Surfaces On Restricted Delaunay Triangulations | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E ,), endowed with its standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E , endowed with its standard N scalar product. LetG be the group of rigid motions of E . We say that a 0 quantity Q(S) associated toS is geometric with respect toG if the corresponding 0 quantity Q[g(S)] associated to g(S) equals Q(S), for all g?G . For instance, the 0 diameter ofS and the area of the convex hull ofS are quantities geometric with respect toG . But the distance from the origin O to the closest point ofS is not, 0 since it is not invariant under translations ofS. It is important to point out that the property of being geometric depends on the chosen group. For instance, ifG is the 1 N group of projective transformations of E , then the property ofS being a circle is geometric forG but not forG , while the property of being a conic or a straight 0 1 line is geometric for bothG andG . This point of view may be generalized to any 0 1 subsetS of any vector space E endowed with a groupG acting on it | ||
| 650 | |a Géométrie différentielle globale | ||
| 650 | |a Courbure | ||
| 650 | |a Géométrie riemannienne globale | ||
| 776 | 0 | |0 128029625 |t Generalized curvatures |f Jean-Marie Morvan |d 2008 |c Berlin |n Springer |p 1 volume (XI-266 pages.) |s Geometry and Computing |z 978-3-540-73791-9 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-73792-6 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-CRCH0PFB-C |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747860319 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-540-73792-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750877863 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-540-73792-6 |z Accès INSA CVL | |
| 997 | |0 940474 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||