ΠΟΛΛΑΠΛΟΤΗΤΕΣ ΤΟΥ RIEMANN ΥΠΕΡΒΟΛΙΚΟΥ ΤΥΠΟΥ

THE AIM OF THE PRESENT THESIS IS TO EXAMINE THE CLOSED GEODESICS ON COMPACT RIEMANNIAN MANIFOLDS OF HYPERBOLIC TYPE; THAT MEANS RIEMANNIAN MANIFOLDS WHICH CAN CARRY A RIEMANNIAN METRIC WITH STRICTLY NEGATIVE SECTIONAL CURVATURE. IT ISPROVED, THAT THE INDEX OF THE M- COVER OF ONE CLOSED GEODESIC ON A COMPACT RIEMANNIAN, MANIFOLD WITHOUT CONJUGATE POINTS IS ZERO, THAT MEANS INDEX ΛΜ CM = 0. IT IS ALSO PROVED, THAT THE SET OF CLOSED GEODESICS, ON A COMPACT RIEMANNIANMANIFOLD OF HYPERBOLIC TYPE, WITHOUT CONJUGATE POINTS STILL AT INFINITY, IS DENSE IN THE SET OF ALL CLOSED DIFFERENTIABLE CURVES ON THE MANIFOLD.

Grantor dc:publisher

Aristotle University Of Thessaloniki (AUTH)

Year dc:date

1986

Author dc:creator

• Χριστοφορίδου, Χρυσή

• CONJUGATE POINTS
• DIFFERENTIABLE CURVES
• Geodesic curves
• HILBERT MANIFOLDS
• HYPERBOLIC MANIFOLDS
• JACOBI VECTOR FIELDS
• M-COVER INDEX
• MONIFOLDS OF HYPERBOLIC TYPE
• Riemannian manifolds
• SECTIONAL CURVATURE
• Γεωδαισιακές καμπύλες
• ΔΕΙΚΤΗΣ Μ-ΚΑΛΥΜΜΑΤΟΣ
• ΔΙΑΝΥΣΜΑΤΙΚΑ ΠΕΔΙΑ ΤΟΥ JACOBI
• Διαφορική γεωμετρία
• ΔΙΑΦΟΡΙΣΙΜΕΣ ΚΑΜΠΥΛΕΣ
• ΠΟΛΛΑΠΛΟΤΗΤΕΣ ΤΟΥ HILBERT
• Πολλαπλότητες του Riemann
• ΣΥΖΥΓΗ ΣΗΜΕΙΑ
• ΤΜΗΜΑΤΙΚΗ ΚΑΜΠΥΛΟΤΗΤΑ
• ΥΠΕΡΒΟΛΙΚΕΣ ΠΟΛΛΑΠΛΟΤΗΤΕΣ
• Φυσικές Επιστήμες
• Μαθηματικά
• Natural Sciences
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/0188

OAI identifier oai:identifier

oai:10442/0188