Deformations in affine hypersurface theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
Aachen
Shaker-Verl.
1999
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| Edition: | Als Ms. gedr. |
| Series: | Berichte aus der Mathematik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | II, 55 S. |
| ISBN: | 3826548442 |
Staff View
MARC
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| 490 | 0 | |a Berichte aus der Mathematik | |
| 502 | |a Zugl.: Berlin, Techn. Univ., Diss., 1998 | ||
| 650 | 4 | |a Affine differential geometry | |
| 650 | 4 | |a Hypersurfaces | |
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Record in the Search Index
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| adam_text | BERICHTE AUS DER MATHEMATIK MARTIN WIEHE DEFORMATIONS IN AFFINE
HYPERSURFACE THEORY D 83 (DISS. TU BERLIN) SHAKER VERLAG AACHEN 1999
CONTENTS INTRODUCTION 1 1 AFFINE HYPERSURFACE THEORY 4 1.1 BASIC
DEFINITIONS AND RESULTS 4 1.2 CHANGE OF THE RELATIVE NORMAL 7 1.3
EXAMPLES OF RELATIVE NORMALS 7 1.4 RELATIVE SPHERES 8 2 GENERALIZED
STRUCTURES 10 2.1 PROJECTIVELY FLAT CONNECTIONS AND CODAZZI TENSORS 10
2.2 CONJUGATE CONNECTIONS 11 2.3 THE OPERATORS * AND ** FOR CONJUGATE
CONNECTIONS 12 2.4 PROPERTIES OF THE OPERATORS * AND D* IN AFFINE
HYPERSURFACE THEORY 17 3 DEFORMATIONS OF AFFINE HYPERSURFACES 20 3.1
BASIC DEFINITIONS AND VARIATIONAL FORMULAS 20 3.2 FIRST VARIATION OF THE
RELATIVE AREA: KNOWN RESULTS 23 3.2.1 RELATIVE SURFACE AREA . . ; 23
3.2.2 EQUIAFFINE AREA VARIATION 24 3.2.3 EUCLIDEAN AREA VARIATION 25
3.2.4 CENTROAFFINE AREA VARIATION 25 3.2.5 A SPECIAL KIND OF DEFORMATION
26 3.3 FIRST VARIATION OF THE RELATIVE SHAPE OPERATOR 26 3.4
DEFORMATIONS OF THE RELATIVE NORMAL 28 4 DEFORMATIONS IN MANHART S ONE
PARAMETER FAMILY 30 4.1 FIRST AND SECOND AREA VARIATION 30 II CONTENTS
4.2 FIRST VARIATION OF THE MEAN CURVATURE INTEGRAL 35 4.3 STABILITY OF
RELATIVE SPHERES 35 5 TRIVIAL DEFORMATIONS 37 5.1 CLASSIFICATION OF
PROPER RELATIVE SPHERES OF MANHART S ONE PARAMETER FAMILY . . 39 5.2
RIGIDITY OF THE ELLIPSOID 42 6 ISOPERIMETRIC PROBLEMS 45 6.1 VOLUME 45
6.2 AN ISOPERIMETRIC FUNCTIONAL 46 6.3 CENTROAFFINE ISOPERIMETRICS 47
6.4 ISOPERIMETRICS OF MANHART S ONE PARAMETER FAMILY 48
|
| any_adam_object | 1 |
| author | Wiehe, Martin |
| author_facet | Wiehe, Martin |
| author_role | aut |
| author_sort | Wiehe, Martin |
| author_variant | m w mw |
| building | Verbundindex |
| bvnumber | BV012468193 |
| classification_rvk | SK 370 |
| ctrlnum | (OCoLC)42668486 (DE-599)BVBBV012468193 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Als Ms. gedr. |
| format | Thesis Book |
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| institution | BVB |
| isbn | 3826548442 |
| language | German |
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| physical | II, 55 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Shaker-Verl. |
| record_format | marc |
| series2 | Berichte aus der Mathematik |
| spelling | Wiehe, Martin Verfasser aut Deformations in affine hypersurface theory Martin Wiehe Als Ms. gedr. Aachen Shaker-Verl. 1999 II, 55 S. txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Berlin, Techn. Univ., Diss., 1998 Affine differential geometry Hypersurfaces Deformation Mathematik (DE-588)4011284-6 gnd rswk-swf Hyperfläche (DE-588)4161054-4 gnd rswk-swf Affine Differentialgeometrie (DE-588)4141563-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Hyperfläche (DE-588)4161054-4 s Deformation Mathematik (DE-588)4011284-6 s Affine Differentialgeometrie (DE-588)4141563-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008461776&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wiehe, Martin Deformations in affine hypersurface theory Affine differential geometry Hypersurfaces Deformation Mathematik (DE-588)4011284-6 gnd Hyperfläche (DE-588)4161054-4 gnd Affine Differentialgeometrie (DE-588)4141563-2 gnd |
| subject_GND | (DE-588)4011284-6 (DE-588)4161054-4 (DE-588)4141563-2 (DE-588)4113937-9 |
| title | Deformations in affine hypersurface theory |
| title_auth | Deformations in affine hypersurface theory |
| title_exact_search | Deformations in affine hypersurface theory |
| title_full | Deformations in affine hypersurface theory Martin Wiehe |
| title_fullStr | Deformations in affine hypersurface theory Martin Wiehe |
| title_full_unstemmed | Deformations in affine hypersurface theory Martin Wiehe |
| title_short | Deformations in affine hypersurface theory |
| title_sort | deformations in affine hypersurface theory |
| topic | Affine differential geometry Hypersurfaces Deformation Mathematik (DE-588)4011284-6 gnd Hyperfläche (DE-588)4161054-4 gnd Affine Differentialgeometrie (DE-588)4141563-2 gnd |
| topic_facet | Affine differential geometry Hypersurfaces Deformation Mathematik Hyperfläche Affine Differentialgeometrie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008461776&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wiehemartin deformationsinaffinehypersurfacetheory |