Concepts of curvature with an emphasis on Riemann fixed curvature.

Postgraduate Thesis uoadl:2866710 797 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2019-03-20
Year:
2019
Author:
Argyriou Areti
Supervisors info:
Διονύσιος Λάππας Αναπληρωτής Καθηγητής Τμήμα Μαθηματικών
ΕΚΠΑ
Original Title:
Έννοιες καμπυλότητας με έμφαση στους χώρους σταθερής καμπυλότητας Riemann.
Languages:
Greek
Translated title:
Concepts of curvature with an emphasis on Riemann fixed curvature.
Summary:
The historical path and evolution of the concept.
The properties of fixed curvature spaces and the local description of Riemann curvature coefficients.
Through Riemann's own considerations, the proof of the Riemann Theorem is described where it characterizes all spaces that at some point have a curvature of zero as spaces locally isometric with the Euclidean space which we have provided with the usual Euclidean metric.
Τhe Theorem of Structure of Constant Curvature Areas is presented and a short historical reference is made to the isometric groups of Space forms.
Main subject category:
Science
Keywords:
Riemann, Space forms, Schur
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
15
Number of pages:
95
File:
File access is restricted only to the intranet of UoA.

Έννοιες καμπυλότητας με έμφαση στους χώρους σταθερής καμπυλότητας Riemann-Αργυρίου Αρετή.pdf
1 MB
File access is restricted only to the intranet of UoA.