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Finsler Geometry: an approach via Randers Spaces

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Bibliographic Details
Main Authors:	Cheng, Xinyue (Author), Shen, Zhongmin 1963- (Author)
Format:	Book
Language:	English
Published:	Heidelberg [u.a.] Springer [u.a.] 2012
Subjects:	Finsler-Geometrie
Online Access:	Inhaltsverzeichnis Inhaltsverzeichnis
Physical Description:	VIII, 150 S.
ISBN:	364224887X 9783642248870 9787030317650

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MARC


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Record in the Search Index

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adam_text	IMAGE 1 C O N T E N T S CHAPTER 1 RANDERS SPACES 1 1.1 RANDERS NORMS 2 1.2 DISTORTION AND VOLUME FORM 5 1.3 CARTAN TORSION 7 1.4 DUALITY 9 BIBLIOGRAPHY 11 CHAPTER 2 RANDERS METRICS AND GEODESIES 13 2.1 RANDERS METRICS 14 2.2 ZERMELO S NAVIGATION PROBLEM 15 2.3 GEODESIES 18 2.4 RANDERS METRICS OF BERWALD TYPE 23 BIBLIOGRAPHY 24 CHAPTER 3 RANDERS METRICS O F ISOTROPIC S-CURVATURE 27 3.1 S-CURVATURE 27 3.2 ISOTROPIC S-CURVATURE IN TERMS OF A AND (3 29 3.3 ISOTROPIC S-CURVATURE IN TERMS OF H AND W 33 3.4 EXAMPLES OF ISOTROPIC S-CURVATURE 37 3.5 RANDERS METRICS WITH SECONDARY ISOTROPIC S-CURVATURE 44 BIBLIOGRAPHY 49 CHAPTER 4 RIEMANN CURVATURE AND RICCI CURVATURE 51 4.1 DEFINITIONS 51 4.2 RIEMANN CURVATURE OF RANDERS METRICS 53 4.3 RANDERS METRICS OF SCALAR FLAG CURVATURE 55 BIBLIOGRAPHY 59 CHAPTER 5 PROJECTIVE GEOMETRY O F RANDERS SPACES 61 5.1 PROJECTIVE QUANTITIES 61 5.2 DOUGLAS-RANDERS METRICS 63 5.3 WEYL-RANDERS METRICS 65 5.4 GENERALIZED DOUGLAS-WEYL RANDERS METRICS 69 BIBLIOGRAPHY 74 CHAPTER 6 RANDERS METRICS WITH SPECIAL RIEMANN CURVATURE PROPERTIES 77 6.1 RICCI-QUADRATIC RANDERS METRICS 77 6.2 RANDERS METRICS OF R-QUADRATIC CURVATURE 78 HTTP://D-NB.INFO/1016934505 IMAGE 2 VIII CONTENTS 6.3 RANDERS METRICS OF W-QUADRATIC CURVATURE 80 6.4 RANDERS METRICS OF SECTIONAL FLAG CURVATURE 81 BIBLIOGRAPHY 88 CHAPTER 7 RANDERS METRICS O F WEAKLY ISOTROPIC FLAG CURVATURE 91 7.1 WEAK EINSTEIN RANDERS METRICS 91 7.2 RANDERS METRICS OF WEAKLY ISOTROPIC FLAG CURVATURE 96 7.3 SOLUTIONS VIA NAVIGATION 101 7.4 WEAK EINSTEIN RANDERS METRICS VIA NAVIGATION DATA 107 BIBLIOGRAPHY 109 CHAPTER 8 PROJECTIVELY FLAT RANDERS METRICS ILL 8.1 PROJECTIVELY FLAT RANDERS METRICS OF CONSTANT FLAG CURVATURE I L L 8.2 PROJECTIVELY FLAT RANDERS METRICS OF WEAKLY ISOTROPIC FLAG CURVATURE 115 8.3 PROJECTIVELY FLAT RANDERS METRICS ON S * 121 BIBLIOGRAPHY 124 CHAPTER 9 CONFORMAL GEOMETRY O F RANDERS METRICS 127 9.1 CONFORMALLY INVARIANT SPRAY 127 9.2 CONFORMALLY FLAT RANDERS METRICS 131 9.3 CONFORMALLY BERWALDIAN RANDERS METRICS 133 BIBLIOGRAPHY 134 CHAPTER 10 DUALLY FLAT RANDERS METRICS 137 10.1 DUALLY FLAT FINSLER METRICS 137 10.2 DUALLY FLAT RANDERS METRICS 140 10.3 DUALLY FLAT RANDERS METRICS WITH ISOTROPIC S-CURVATURE 143 BIBLIOGRAPHY 147 INDEX 149
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author	Cheng, Xinyue Shen, Zhongmin 1963-
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isbn	364224887X 9783642248870 9787030317650
language	English
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spelling	Cheng, Xinyue Verfasser (DE-588)1027555535 aut Finsler Geometry an approach via Randers Spaces Xinyue Cheng ; Zhongmin Shen Heidelberg [u.a.] Springer [u.a.] 2012 VIII, 150 S. txt rdacontent n rdamedia nc rdacarrier Finsler-Geometrie (DE-588)4451048-2 gnd rswk-swf Finsler-Geometrie (DE-588)4451048-2 s DE-604 Shen, Zhongmin 1963- Verfasser (DE-588)173382444 aut Erscheint auch als Online-Ausgabe 978-3-642-24888-7 DE-601 pdf/application http://www.gbv.de/dms/bs/toc/672375397.pdf Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025782094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Cheng, Xinyue Shen, Zhongmin 1963- Finsler Geometry an approach via Randers Spaces Finsler-Geometrie (DE-588)4451048-2 gnd
subject_GND	(DE-588)4451048-2
title	Finsler Geometry an approach via Randers Spaces
title_auth	Finsler Geometry an approach via Randers Spaces
title_exact_search	Finsler Geometry an approach via Randers Spaces
title_full	Finsler Geometry an approach via Randers Spaces Xinyue Cheng ; Zhongmin Shen
title_fullStr	Finsler Geometry an approach via Randers Spaces Xinyue Cheng ; Zhongmin Shen
title_full_unstemmed	Finsler Geometry an approach via Randers Spaces Xinyue Cheng ; Zhongmin Shen
title_short	Finsler Geometry
title_sort	finsler geometry an approach via randers spaces
title_sub	an approach via Randers Spaces
topic	Finsler-Geometrie (DE-588)4451048-2 gnd
topic_facet	Finsler-Geometrie
url	http://www.gbv.de/dms/bs/toc/672375397.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025782094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT chengxinyue finslergeometryanapproachviarandersspaces AT shenzhongmin finslergeometryanapproachviarandersspaces

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