ΣΥΜΒΟΛΗ ΣΤΗ ΜΕΛΕΤΗ ΤΩΝ W-ΣΜΗΝΩΝ ΣΤΑ ΠΛΑΙΣΙΑ ΤΗΣ ΠΡΟΒΟΛΙΚΗΣ ΔΙΑΦΟΡΙΚΗΣ ΓΕΩΜΕΤΡΙΑΣ

THIS DISSERTATION IS DEVOTED TO THE STUDY OF COMPLEXES AND CONGRUENCES OF STRAIGHT LINES IN THE REAL PROJECTIVE SPACE P3. IN CHAPTER I WE PRESENT, FOR THE MOST PART, KNOWN RESULTS. CHAPTER II IS CONCERNED WITH THE M-TH OSCULATING SPACE IN A STRAIGHT LINE OF CONGRUENCE. IN CHAPTER III WE PROVE THAT IN P3 THERE IS ONLY ONE DEGENERATED OR PARABOLIC OR HYPERBOLIC OR ELLIPTIC LINEAR CONGRUENCE ANDWE FIND A PROJECTIVE NORMAL FORM FOR EACH CLASS OF EQUIVALENT LINEAR CONGRUENCES. IT IS WELL-KNOWN THAT A W- CONGRUENCE HAS THE CHARACTERISTIC PROPERTY, THATITS SECOND OSCULATING SPACE J(2) HAS A DIMENSION D(2) < 4. IN CHAPTER IV WE EXTEND THE CONCEPT OF W-CONGRUENCE TO THE CASE OF NOT HYPERBOLIC CONGRUENCES BY USING THE PRECEDING PROPERTY AND WE FIND ALL W- CONGRUENCES WITH A DEGENERATED FOCAL SURFACE.

Grantor dc:publisher

Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)

Year dc:date

1988

Authors dc:creator

• Σταματάκης, Στυλιανός
• Stamatakis, Stylianos

• Complexes
• CONGRUENCES
• Differential geometry
• LINE GEOMETRY
• LINEAR CONGRUENCES
• W-CONGRUENCES
• W-ΣΜΗΝΗ
• ΓΡΑΜΜΙΚΑ ΣΜΗΝΗ
• Διαφορική γεωμετρία
• ΕΥΘΕΙΑΚΗ ΓΕΩΜΕΤΡΙΑ
• ΣΜΗΝΗ ΕΥΘΕΙΩΝ
• ΣΥΜΠΛΕΓΜΑΤΑ ΕΥΘΕΙΩΝ
• Φυσικές Επιστήμες
• Natural Sciences
• Μαθηματικά
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/0711

OAI identifier oai:identifier

oai:10442/0711