From the second gradient operator and second class of integral theorems to Gaussian or spherical mapping invariants.
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| Title: | From the second gradient operator and second class of integral theorems to Gaussian or spherical mapping invariants. |
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| Authors: | Ya-jun Yin1,2 yinyj@mail.tsinghua.edu.cn, Ji-ye Wu1, Ke-zhi Huang1, Qin-shan Fan2 |
| Source: | Applied Mathematics & Mechanics. Jul2008, Vol. 29 Issue 7, p855-862. 8p. 4 Diagrams. |
| Subjects: | Integral theorems, Curvature, Geometric surfaces, Mathematical invariants, Geometry |
| Abstract: | By combining of the second gradient operator, the second class of integral theorems, the Gaussian-curvature-based integral theorems and the Gaussian (or spherical) mapping, a series of invariants or geometric conservation quantities under Gaussian (or spherical) mapping are revealed. From these mapping invariants important transformations between original curved surface and the spherical surface are derived. The potential applications of these invariants and transformations to geometry are discussed. [ABSTRACT FROM AUTHOR] |
| Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 35104396 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: From the second gradient operator and second class of integral theorems to Gaussian or spherical mapping invariants. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ya-jun+Yin%22">Ya-jun Yin</searchLink><relatesTo>1,2</relatesTo><i> yinyj@mail.tsinghua.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Ji-ye+Wu%22">Ji-ye Wu</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Ke-zhi+Huang%22">Ke-zhi Huang</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Qin-shan+Fan%22">Qin-shan Fan</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Mechanics%22">Applied Mathematics & Mechanics</searchLink>. Jul2008, Vol. 29 Issue 7, p855-862. 8p. 4 Diagrams. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Integral+theorems%22">Integral theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+surfaces%22">Geometric surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+invariants%22">Mathematical invariants</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%22">Geometry</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: By combining of the second gradient operator, the second class of integral theorems, the Gaussian-curvature-based integral theorems and the Gaussian (or spherical) mapping, a series of invariants or geometric conservation quantities under Gaussian (or spherical) mapping are revealed. From these mapping invariants important transformations between original curved surface and the spherical surface are derived. The potential applications of these invariants and transformations to geometry are discussed. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=35104396 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10483-008-0703-1 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 855 Subjects: – SubjectFull: Integral theorems Type: general – SubjectFull: Curvature Type: general – SubjectFull: Geometric surfaces Type: general – SubjectFull: Mathematical invariants Type: general – SubjectFull: Geometry Type: general Titles: – TitleFull: From the second gradient operator and second class of integral theorems to Gaussian or spherical mapping invariants. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ya-jun Yin – PersonEntity: Name: NameFull: Ji-ye Wu – PersonEntity: Name: NameFull: Ke-zhi Huang – PersonEntity: Name: NameFull: Qin-shan Fan IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2008 Type: published Y: 2008 Identifiers: – Type: issn-print Value: 02534827 Numbering: – Type: volume Value: 29 – Type: issue Value: 7 Titles: – TitleFull: Applied Mathematics & Mechanics Type: main |
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