Some problems in finsler and teleparallel geometries / (Record no. 69465)
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000 -LEADER | |
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fixed length control field | 02569cam a2200325 a 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | EG-GiCUC |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20250223032145.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 190109s2018 ua f m 000 0 eng d |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | EG-GiCUC |
Language of cataloging | eng |
Transcribing agency | EG-GiCUC |
041 0# - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
049 ## - LOCAL HOLDINGS (OCLC) | |
Holding library | Deposite |
097 ## - Thesis Degree | |
Thesis Level | Ph.D |
099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
Classification number | Cai01.12.17.Ph.D.2018.Eb.S |
100 0# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Ebtsam Hassan Taha Mohamed |
245 10 - TITLE STATEMENT | |
Title | Some problems in finsler and teleparallel geometries / |
Statement of responsibility, etc. | Ebtsam Hassan Taha Mohamed ; Supervised Nabil Labib Youssef |
246 15 - VARYING FORM OF TITLE | |
Title proper/short title | بعض المسائل فى هندستى فنسلر والتوازى عن بُعد |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | Cairo : |
Name of publisher, distributor, etc. | Ebtsam Hassan Taha Mohamed , |
Date of publication, distribution, etc. | 2018 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 127 P. ; |
Dimensions | 25cm |
502 ## - DISSERTATION NOTE | |
Dissertation note | Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics |
520 ## - SUMMARY, ETC. | |
Summary, etc. | We study conformal transformations in the context of local absolute parallelism geometry and nd out some new conformally invariant geometric objects. We establish the existence of a sub-Riemannian structure on a parallelizable distribution (PD). Besides the Weitzen 7 ock connection, we construct on PD a linear connection which corresponds to the Riemannian connection. Contrary to the Riemannian case, an explicit global expression for such a connection is given. We apply the obtained results to the spheres S3 and S7. We solve the Finsler metrizability problem for a 2-dimensional non- at spray using the integrability of the Berwald distribution. Moreover, we provide an algorithm to construct the Finsler function metrizing the spray. Various examples are given to show how our method is powerful and easy to handle. We transform a non-conservative Lagrangian system to a conservative one using the notion of scalar deformation. This has been done for homogeneous and nonhomogeneous systems. Our results hold for any nite dimension and generalize various cases existing in the literature. The notion of a semi-concurrent vector eld (SCVF) is introduced and investigated. We show that some special Finsler manifolds admitting such a vector eld turn out to be Riemannian. Di erent examples of non-Riemannian conic Finsler metrics admitting SCVF's are given. We nally conjecture that there is no regular Finsler metric admitting a SCVF |
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
Additional physical form available note | Issued also as CD |
653 #4 - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Finsler |
653 #4 - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Parallelizable distribution (PD) |
653 #4 - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Teleparallel geometries |
700 0# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Nabil Labib Youssef , |
Relator term | |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="http://172.23.153.220/th.pdf">http://172.23.153.220/th.pdf</a> |
905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
Cataloger | Nazla |
Reviser | Revisor |
905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
Cataloger | Shimaa |
Reviser | Cataloger |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Thesis |
Source of classification or shelving scheme | Not for loan | Home library | Current library | Date acquired | Full call number | Barcode | Date last seen | Koha item type | Copy number |
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Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | قاعة الرسائل الجامعية - الدور الاول | 11.02.2024 | Cai01.12.17.Ph.D.2018.Eb.S | 01010110076738000 | 22.09.2023 | Thesis | ||
Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.Ph.D.2018.Eb.S | 01020110076738000 | 22.09.2023 | CD - Rom | 76738.CD |