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Title Details:
Smooth manifolds
Authors: Arvanitogeorgos, Andreas
Reviewer: Platis, Ioannis
Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > GLOBAL DIFFERENTIAL GEOMETRY
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > TOPOLOGICAL GROUPS, LIE GROUPS > LIE GROUPS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > DIFFERENTIAL GEOMETRY > APPLICATIONS TO PHYSICS
Keywords:
Differential (smooth) Manifold
Smooth Function
Inverse Function Theorem
Description:
Abstract:
Ορισμός μιας διαφορικής (λείας) πολλαπλότητας, χάρτες, άτλαντες, παραδείγματα, πολλαπλότητες πηλίκο, λείες απεικονίσεις, εφαπτόμενος χώρος, υποπολλαπλότητες, το θεώρημα σταθερής τάξης, εφαπτόμενη δέσμη, διανυσματικά πεδία, ολοκληρωτικές καμπύλες
Table of Contents:
- Smooth manifolds
- The real projective space
- Smooth maps in R^n
- The inverse function theorem
- Problems
Linguistic Editors: Gyftopoulou, Ourania
Type: Chapter
Creation Date: 12-10-2015
Item Details:
License: http://creativecommons.org/licenses/by-nc-nd/3.0/gr
Handle http://hdl.handle.net/11419/148
Bibliographic Reference: Arvanitogeorgos, A. (2015). Smooth manifolds [Chapter]. In Arvanitogeorgos, A. 2015. Geometry of Manifolds [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/148
Language: Greek
Is Part of: Geometry of Manifolds
Number of pages 19
Publication Origin: Kallipos, Open Academic Editions