Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / / Gary R. Jensen, Phillip A. Griffiths.
The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have l...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1987 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
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Griffiths, Phillip A., author. aut http://id.loc.gov/vocabulary/relators/aut Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / Gary R. Jensen, Phillip A. Griffiths. Princeton, NJ : Princeton University Press, [2016] ©1987 1 online resource (238 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 114 Frontmatter -- Contents -- Preface -- Commonly used notation -- 1. Introduction -- 2. Structure equations of Xn ⊂ EN -- 3. Pfaffian differential systems -- 4. Quasi-linear Pfaffian differential system -- 5. The isometric embedding system -- 6. The characteristic variety -- 7. Isometric embeddings of space forms -- 8. Embedding Cauchy-Riemann structures -- References -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Differential equations, Partial. Embeddings (Mathematics). Exterior differential systems. Riemannian manifolds. MATHEMATICS / General. bisacsh American Mathematical Society. Combination. Descriptive geometry. Embedding. Geometry. Integer. Mathematics. Mechanical engineering. Subgroup. Theorem. Theory. Jensen, Gary R., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691084305 https://doi.org/10.1515/9781400882106 https://www.degruyter.com/isbn/9781400882106 Cover https://www.degruyter.com/document/cover/isbn/9781400882106/original |
| language |
English |
| format |
eBook |
| author |
Griffiths, Phillip A., Griffiths, Phillip A., Jensen, Gary R., |
| spellingShingle |
Griffiths, Phillip A., Griffiths, Phillip A., Jensen, Gary R., Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / Annals of Mathematics Studies ; Frontmatter -- Contents -- Preface -- Commonly used notation -- 1. Introduction -- 2. Structure equations of Xn ⊂ EN -- 3. Pfaffian differential systems -- 4. Quasi-linear Pfaffian differential system -- 5. The isometric embedding system -- 6. The characteristic variety -- 7. Isometric embeddings of space forms -- 8. Embedding Cauchy-Riemann structures -- References -- Index |
| author_facet |
Griffiths, Phillip A., Griffiths, Phillip A., Jensen, Gary R., Jensen, Gary R., Jensen, Gary R., |
| author_variant |
p a g pa pag p a g pa pag g r j gr grj |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Jensen, Gary R., Jensen, Gary R., |
| author2_variant |
g r j gr grj |
| author2_role |
VerfasserIn VerfasserIn |
| author_sort |
Griffiths, Phillip A., |
| title |
Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / |
| title_full |
Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / Gary R. Jensen, Phillip A. Griffiths. |
| title_fullStr |
Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / Gary R. Jensen, Phillip A. Griffiths. |
| title_full_unstemmed |
Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / Gary R. Jensen, Phillip A. Griffiths. |
| title_auth |
Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / |
| title_alt |
Frontmatter -- Contents -- Preface -- Commonly used notation -- 1. Introduction -- 2. Structure equations of Xn ⊂ EN -- 3. Pfaffian differential systems -- 4. Quasi-linear Pfaffian differential system -- 5. The isometric embedding system -- 6. The characteristic variety -- 7. Isometric embeddings of space forms -- 8. Embedding Cauchy-Riemann structures -- References -- Index |
| title_new |
Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / |
| title_sort |
differential systems and isometric embeddings.(am-114), volume 114 / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (238 p.) Issued also in print. |
| contents |
Frontmatter -- Contents -- Preface -- Commonly used notation -- 1. Introduction -- 2. Structure equations of Xn ⊂ EN -- 3. Pfaffian differential systems -- 4. Quasi-linear Pfaffian differential system -- 5. The isometric embedding system -- 6. The characteristic variety -- 7. Isometric embeddings of space forms -- 8. Embedding Cauchy-Riemann structures -- References -- Index |
| isbn |
9781400882106 9783110494914 9783110442496 9780691084305 |
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Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA649 |
| callnumber-sort |
QA 3649 |
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https://doi.org/10.1515/9781400882106 https://www.degruyter.com/isbn/9781400882106 https://www.degruyter.com/document/cover/isbn/9781400882106/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.3/53 |
| dewey-sort |
3515.3 253 |
| dewey-raw |
515.3/53 |
| dewey-search |
515.3/53 |
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10.1515/9781400882106 |
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979836506 |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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Differential Systems and Isometric Embeddings.(AM-114), Volume 114 / |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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