On Clifford-type structures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Inst. of Mathematics, Polish Acad. of Sciences
2006
|
| Series: | Dissertationes mathematicae
440 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 47 S. |
Staff View
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| 650 | 4 | |a Holonomy groups | |
| 650 | 4 | |a Kählerian manifolds | |
| 650 | 4 | |a Quaternions | |
| 650 | 4 | |a Riemannian manifolds | |
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Record in the Search Index
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| adam_text |
INSTITUTE OF MATHEMATICS, POLISH ACADEMY OF SCIENCES DISSERTATIONES
MATHEM ATIC AE EDITORIAL BOARD ANDRZEJ BIALYNICKI-BIRULA, BOGDAN
BOJARSKI, ZBIGNIEW CIESIELSKI, STANISLAW JANECZKO, LUDOMIR NEWELSKI,
ZBIGNIEW SEMADENI, JERZY ZABCZYK EDITOR, WIESLAW ZELAZKO DEPUTY EDITOR
440 WIESLAW KROLIKOWSKI ON CLIFFORD-TYPE STRUCTURES SUB GOTTINGEN 7 219
235 678 2OO? A WARSZAWA 2006 CONTENTS INTRODUCTION AND AN OUTLINE OF
RESULTS 5 I. CLIFFORD-TYPE STRUCTURES 8 1.1. FUNDAMENTAL NOTIONS AND
BASIC PROPERTIES 8 1.2. CLIFFORD-TYPE NUMBERS 12 1.3. THE FUNDAMENTAL
FORM Q 13 1.4. SPLITTING OF FORMS 14 1.5. CLIFFORD-TYPE MANIFOLDS 18 II.
ON SOME FEATURE OF HYPERCOMPLEX ANALYSIS 20 ILL INTRODUCTION 20 11.2.
CLIFFORD-TYPE HOLOMORPHY 20 11.3. TWO PROPERTIES OF CLIFFORD-TYPE
HOLOMORPHIC MAPS 21 III. SECTIONAL CURVATURE OF A CLIFFORD-TYPE
PROJECTIVE SPACE 22 111.1. INTRODUCTION 22 111.2. SECTIONAL CURVATURE OF
A CLIFFORD-TYPE PROJECTIVE SPACE 23 111.3. QUATERNIONIC AND OCTONIONIC
MANIFOLDS WITH RESTRICTED CURVATURE 26 IV. QUATERNIONIC CONDITION FOR
THE EXISTENCE OF 4-DIMENSIONAL LOCALLY CONFORMALLY FLAT ALMOST KAHLER
MANIFOLDS 28 IV. 1. INTRODUCTION 28 IV.2. BASIC NOTIONS AND MAIN THEOREM
29 IV.3. PROOF OF BASIC LEMMA 30 IV.4. FUETER'S REGULAR FUNCTIONS 31
IV.5. PROOF OF MAIN THEOREM 33 IV.6. EXAMPLES 36 IV. 7. CONTRIBUTION TO
THE THEORY OF FUETER REGULAR FUNCTIONS 37 V. ON QUATERNIONIC LAGRANGIAN
SUBMANIFOLDS \ 37 V.I. INTRODUCTION 37 V.2. PRELIMINARIES 38 V.3.
LAGRANGIAN PLANES 38 V.4. ELLIPTICITY 42 V.5. HOMOTOPIC QUATERNIONIC
MAPPINGS 43 REFERENCES '. 46 2000 MATHEMATICS SUBJECT CLASSIFICATION:
15A63, 15A66, 30G35, 30G99, 32A30, 32K15, 53C10, 53C40, 53C55. KEY WORDS
AND PHRASES: COMPLEX AND QUATERNIONIC STRUCTURES AND MANIFOLDS; ALMOST
KAHLER MANI- FOLD; CLIFFORD, EXTERIOR AND LIE ALGEBRAS; HOLONOMY GROUPS,
GENERALIZED HOLOMORPHY, FUETER REGULAR MAPPINGS; SECTIONAL CURVATURE.
RECEIVED 18.8.2005; REVISED VERSION 7.8.2006. [3] |
| adam_txt |
INSTITUTE OF MATHEMATICS, POLISH ACADEMY OF SCIENCES DISSERTATIONES
MATHEM ATIC AE EDITORIAL BOARD ANDRZEJ BIALYNICKI-BIRULA, BOGDAN
BOJARSKI, ZBIGNIEW CIESIELSKI, STANISLAW JANECZKO, LUDOMIR NEWELSKI,
ZBIGNIEW SEMADENI, JERZY ZABCZYK EDITOR, WIESLAW ZELAZKO DEPUTY EDITOR
440 WIESLAW KROLIKOWSKI ON CLIFFORD-TYPE STRUCTURES SUB GOTTINGEN 7 219
235 678 2OO? A WARSZAWA 2006 CONTENTS INTRODUCTION AND AN OUTLINE OF
RESULTS 5 I. CLIFFORD-TYPE STRUCTURES 8 1.1. FUNDAMENTAL NOTIONS AND
BASIC PROPERTIES 8 1.2. CLIFFORD-TYPE NUMBERS 12 1.3. THE FUNDAMENTAL
FORM Q 13 1.4. SPLITTING OF FORMS 14 1.5. CLIFFORD-TYPE MANIFOLDS 18 II.
ON SOME FEATURE OF HYPERCOMPLEX ANALYSIS 20 ILL INTRODUCTION 20 11.2.
CLIFFORD-TYPE HOLOMORPHY 20 11.3. TWO PROPERTIES OF CLIFFORD-TYPE
HOLOMORPHIC MAPS 21 III. SECTIONAL CURVATURE OF A CLIFFORD-TYPE
PROJECTIVE SPACE 22 111.1. INTRODUCTION 22 111.2. SECTIONAL CURVATURE OF
A CLIFFORD-TYPE PROJECTIVE SPACE 23 111.3. QUATERNIONIC AND OCTONIONIC
MANIFOLDS WITH RESTRICTED CURVATURE 26 IV. QUATERNIONIC CONDITION FOR
THE EXISTENCE OF 4-DIMENSIONAL LOCALLY CONFORMALLY FLAT ALMOST KAHLER
MANIFOLDS 28 IV. 1. INTRODUCTION 28 IV.2. BASIC NOTIONS AND MAIN THEOREM
29 IV.3. PROOF OF BASIC LEMMA 30 IV.4. FUETER'S REGULAR FUNCTIONS 31
IV.5. PROOF OF MAIN THEOREM 33 IV.6. EXAMPLES 36 IV. 7. CONTRIBUTION TO
THE THEORY OF FUETER REGULAR FUNCTIONS 37 V. ON QUATERNIONIC LAGRANGIAN
SUBMANIFOLDS \ 37 V.I. INTRODUCTION 37 V.2. PRELIMINARIES 38 V.3.
LAGRANGIAN PLANES 38 V.4. ELLIPTICITY 42 V.5. HOMOTOPIC QUATERNIONIC
MAPPINGS 43 REFERENCES '. 46 2000 MATHEMATICS SUBJECT CLASSIFICATION:
15A63, 15A66, 30G35, 30G99, 32A30, 32K15, 53C10, 53C40, 53C55. KEY WORDS
AND PHRASES: COMPLEX AND QUATERNIONIC STRUCTURES AND MANIFOLDS; ALMOST
KAHLER MANI- FOLD; CLIFFORD, EXTERIOR AND LIE ALGEBRAS; HOLONOMY GROUPS,
GENERALIZED HOLOMORPHY, FUETER REGULAR MAPPINGS; SECTIONAL CURVATURE.
RECEIVED 18.8.2005; REVISED VERSION 7.8.2006. [3] |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:46:26Z |
| indexdate | 2025-03-31T20:04:25Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015482500 |
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| physical | 47 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Inst. of Mathematics, Polish Acad. of Sciences |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Królikowski, Wiesław 1955- Verfasser (DE-588)1345930976 aut On Clifford-type structures Wiesław Królikowski Warszawa Inst. of Mathematics, Polish Acad. of Sciences 2006 47 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 440 Clifford algebras Functions of complex variables Holonomy groups Kählerian manifolds Quaternions Riemannian manifolds Dissertationes mathematicae 440 (DE-604)BV000003039 440 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015482500&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Królikowski, Wiesław 1955- On Clifford-type structures Dissertationes mathematicae Clifford algebras Functions of complex variables Holonomy groups Kählerian manifolds Quaternions Riemannian manifolds |
| title | On Clifford-type structures |
| title_auth | On Clifford-type structures |
| title_exact_search | On Clifford-type structures |
| title_exact_search_txtP | On Clifford-type structures |
| title_full | On Clifford-type structures Wiesław Królikowski |
| title_fullStr | On Clifford-type structures Wiesław Królikowski |
| title_full_unstemmed | On Clifford-type structures Wiesław Królikowski |
| title_short | On Clifford-type structures |
| title_sort | on clifford type structures |
| topic | Clifford algebras Functions of complex variables Holonomy groups Kählerian manifolds Quaternions Riemannian manifolds |
| topic_facet | Clifford algebras Functions of complex variables Holonomy groups Kählerian manifolds Quaternions Riemannian manifolds |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015482500&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT krolikowskiwiesław oncliffordtypestructures |