Semi-Riemannian maps and their applications:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Dordrecht <<[u.a.]>>
Kluwer
1999
|
Schriftenreihe: | Mathematics and its applications
475 |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 198 S. |
ISBN: | 0792356616 |
Internformat
MARC
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490 | 1 | |a Mathematics and its applications |v 475 | |
700 | 1 | |a Kupeli, Demir N. |e Verfasser |4 aut | |
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Datensatz im Suchindex
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adam_text | SEMI-RIEMANNIAN MAPS AND THEIR APPLICATIONS BY EDUARDO GARCIA-RIO
UNIVERSITY OF SANTIAGO DE COMPOSTELA, SANTIAGO, SPAIN AND DEMIR N.
KUPELI MIDDLE EAST TECHNICAL UNIVERSITY, ANKARA, TURKEY KLUWER ACADEMIC
PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS PREFACE IX 1 LINEAR
ALGEBRA OF INDEFINITE INNER PRODUCT SPACES 1 1.1 INNER PRODUCT SPACES 1
1.2 LINEAR TRANSFORMATIONS BETWEEN INNER PRODUCT SPACES 7 2
SEMI-RIEMANNIAN MANIFOLDS 19 2.1 METRIC TENSORS 19 2.2 CONNECTIONS ON
SEMI-RIEMANNIAN MANIFOLDS 25 2.3 CURVATURES OF SEMI-RIEMANNIAN MANIFOLDS
36 2.4 SOME DIFFERENTIAL OPERATORS 43 2.5 THE SEMI-RIEMANNIAN DIVERGENCE
THEOREM 47 3 SECOND FUNDAMENTAL FORM OF A MAP 59 3.1 THE SECOND
FUNDAMENTAL FORM 59 3.2 AFFINE AND HARMONIC MAPS 64 3.3 THE GENERALIZED
SEMI-RIEMANNIAN DIVERGENCE THEOREM . ., 69 3.4 THE BOCHNER IDENTITY 72 4
SEMI-RIEMANNIAN MAPS --^ 83 4.1 THE GENERALIZED EIKONAL EQUATION AND
SEMI-RIEMANNIAN MAPS ... 84 4.2 SEMI-RIEMANNIAN SUBMERSIONS 86 4.3
RIEMANNIAN MAPS 90 VIII 4.4 AFFINE RIEMANNIAN MAPS 95 5 SEMI-RIEMANNIAN
TRANSVERSAL MAPS 101 5.1 THE TRANSVERSAL GENERALIZED EIKONAL EQUATION
AND SEMI-RIEMANNIAN MAPS WITH RESPECT-TO A SEMI-RIEMANNIAN FOLIATION 102
5.2 SEMI-RIEMANNIAN TRANSVERSAL MAPS 105 6 SEMI-RIEMANNIAN EIKONAL
EQUATIONS AND THE SEMI-RIEMANNIAN REGULAR INTERVAL THEOREM 117 6.1
SEMI-RIEMANNIAN EIKONAL EQUATIONS 118 6.2 AFFINE SOLUTIONS OF
SEMI-RIEMANNIAN EIKONAL EQUATIONS 126 6.3 THE SEMI-RIEMANNIAN REGULAR
INTERVAL THEOREM 132 7 APPLICATIONS TO SPLITTING THEOREMS 143 7.1 THE
SEMI-RIEMANNIAN SPLITTING THEOREM 143 7.2 RIEMANNIAN SPLITTING THEOREMS
145 7.3 LORENTZIAN SPLITTING THEOREMS 147 A SUBMANIFOLDS OF
SEMI-RIEMANNIAN MANIFOLDS 163 A.I SEMI-RIEMANNIAN SUBMANIFOLDS 163 A.2
DEGENERATE SUBMANIFOLDS 169 B RIEMANNIAN AND LORENTZIAN GEOMETRY 181 B.I
RIEMANNIAN GEOMETRY 181 B.2 LORENTZIAN GEOMETRY 183 BIBLIOGRAPHY 193
INDEX 196
|
any_adam_object | 1 |
author | García-Río, Eduardo 1965- Kupeli, Demir N. |
author_GND | (DE-588)123438357 |
author_facet | García-Río, Eduardo 1965- Kupeli, Demir N. |
author_role | aut aut |
author_sort | García-Río, Eduardo 1965- |
author_variant | e g r egr d n k dn dnk |
building | Verbundindex |
bvnumber | BV024499083 |
classification_rvk | SK 370 |
ctrlnum | (OCoLC)246105093 (DE-599)BVBBV024499083 |
dewey-full | 516.373 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.373 |
dewey-search | 516.373 |
dewey-sort | 3516.373 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV024499083 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T22:00:52Z |
institution | BVB |
isbn | 0792356616 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018473898 |
oclc_num | 246105093 |
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owner | DE-83 DE-11 |
owner_facet | DE-83 DE-11 |
physical | X, 198 S. |
publishDate | 1999 |
publishDateSearch | 1999 |
publishDateSort | 1999 |
publisher | Kluwer |
record_format | marc |
series | Mathematics and its applications |
series2 | Mathematics and its applications |
spelling | García-Río, Eduardo 1965- Verfasser (DE-588)123438357 aut Semi-Riemannian maps and their applications by Eduardo Gacía-Río and Demir N. Kupeli Dordrecht <<[u.a.]>> Kluwer 1999 X, 198 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 475 Kupeli, Demir N. Verfasser aut Mathematics and its applications 475 (DE-604)BV008163334 475 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018473898&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | García-Río, Eduardo 1965- Kupeli, Demir N. Semi-Riemannian maps and their applications Mathematics and its applications |
title | Semi-Riemannian maps and their applications |
title_auth | Semi-Riemannian maps and their applications |
title_exact_search | Semi-Riemannian maps and their applications |
title_full | Semi-Riemannian maps and their applications by Eduardo Gacía-Río and Demir N. Kupeli |
title_fullStr | Semi-Riemannian maps and their applications by Eduardo Gacía-Río and Demir N. Kupeli |
title_full_unstemmed | Semi-Riemannian maps and their applications by Eduardo Gacía-Río and Demir N. Kupeli |
title_short | Semi-Riemannian maps and their applications |
title_sort | semi riemannian maps and their applications |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018473898&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008163334 |
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