Το θεώρημα Gauss-Bonnet

Το θεώρημα Gauss-Bonnet

Στην εργασία αυτή θα παρουσιάσουμε το θεώρημα Gauss-Bonnet. Το θεώρημα αυτό είναι ένα από τα σημαντικότερα θεωρήματα της θεωρίας επιφανειών. Για πρώτη φορά δημοσιεύθηκε από τον O. Bonnet (1819-1892) το 1848, αλλά πιθανότατα να ήταν γνωστό στον Gauss. Μελετάμε το ολοκλήρωμα της καμπυλότητας Gauss...

Full description

Bibliographic Details
Main Author:	Λουκοπούλου, Μάνθα
Other Authors:	Κοτσιώλης, Αθανάσιος
Language:	gr
Published:	2010
Subjects:	Θεώρημα Gauss-Bonnet Θεωρία επιφανειών 516.9 Gauss-Bonnet theorem Geometry of surfaces
Online Access:	http://nemertes.lis.upatras.gr/jspui/handle/10889/2704

Similar Items

Gauss-Bonnet formula
by: Broersma, Heather Ann
Published: (2006)

An application for the Gauss-Bonnet theorem
by: Gül, Erdal
Published: (2014)

Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem
by: Kimet Jusufi
Published: (2021-02-01)

Gauss–Bonnet Inflation and the String Swampland
by: Zhu Yi, et al.
Published: (2019-09-01)

On Gauss-Bonnet Curvatures
by: Mohammed Larbi Labbi
Published: (2007-12-01)

k-Essence Non-Minimally Coupled with Gauss–Bonnet Invariant for Inflation
by: Ratbay Myrzakulov, et al.
Published: (2016-06-01)

Supersymmetric Quantum Mechanics and the Gauss-Bonnet Theorem
by: Olofsson, Rikard
Published: (2018)

Particle-antiparticle in 4D charged Einstein-Gauss-Bonnet black hole
by: M. Bousder, et al.
Published: (2021-06-01)

De Sitter Solutions in Einstein–Gauss–Bonnet Gravity
by: Sergey Vernov, et al.
Published: (2021-05-01)

Gauss-Bonnet theorem in Lorentzian Sasakian space forms
by: Haiming Liu, et al.
Published: (2021-06-01)

Exact Spherically Symmetric Solutions in Modified Gauss–Bonnet Gravity from Noether Symmetry Approach
by: Sebastian Bahamonde, et al.
Published: (2020-01-01)

Gauss-Bonnet theorems in the generalized affine group and the generalized BCV spaces
by: Tong Wu, et al.
Published: (2021-08-01)

Spinning Test Particle in Four-Dimensional Einstein–Gauss–Bonnet Black Holes
by: Yu-Peng Zhang, et al.
Published: (2020-07-01)

Deflection Angle of Photons through Dark Matter by Black Holes and Wormholes Using Gauss–Bonnet Theorem
by: Ali Övgün
Published: (2019-05-01)

Phantom divide crossing with non-minimal kinetic and gauss-bonnet couplings
by: A Banijamali, et al.
Published: (2018-06-01)

Tópicos de geometria diferencial
by: Batista, Ricardo Alexandre [UNESP]
Published: (2014)

Higher Dimensional Static and Spherically Symmetric Solutions in Extended Gauss–Bonnet Gravity
by: Francesco Bajardi, et al.
Published: (2020-03-01)

Rational points on horocycles and incomplete Gauss sums
by: Akarsu, Emek Demirci
Published: (2014)

Competing s-wave orders from Einstein–Gauss–Bonnet gravity
by: Zhi-Hong Li, et al.
Published: (2018-01-01)

On the Gauss-Bonnet for the quasi-Dirac operators on the sphere
by: Sitarz Andrzej
Published: (2017-04-01)

Gauss–Bonnet Theorems in the Lorentzian Heisenberg Group and the Lorentzian Group of Rigid Motions of the Minkowski Plane
by: Sining Wei, et al.
Published: (2021-01-01)

4D Einstein–Gauss–Bonnet Gravity Coupled with Nonlinear Electrodynamics
by: Sergey Il’ich Kruglov
Published: (2021-01-01)

Desigualdades de Hitchin-Thorpe e Miyaoka-Yau
by: Diego de Sousa Rodrigues
Published: (2014)

New black hole solutions of Gauss-Bonnet gravity in the presence of a perfect fluid
by: N Farhangkhah
Published: (2018-02-01)

Black hole with confining electric potential in scalar-tensor description of regularized 4-dimensional Einstein-Gauss-Bonnet gravity
by: A. Övgün
Published: (2021-09-01)

Einstein–Gauss–Bonnet Gravity with Nonlinear Electrodynamics: Entropy, Energy Emission, Quasinormal Modes and Deflection Angle
by: Sergey Il’ich Kruglov
Published: (2021-05-01)

New Model of 4D Einstein–Gauss–Bonnet Gravity Coupled with Nonlinear Electrodynamics
by: Sergey Il’ich Kruglov
Published: (2021-07-01)

Exponential Cosmological Solutions with Three Different Hubble-Like Parameters in (1 + 3 + <i>k</i><sub>1</sub> + <i>k</i><sub>2</sub>)-Dimensional EGB Model with a Λ-Term
by: K. K. Ernazarov, et al.
Published: (2020-02-01)

Laplacien discret d'un 2-complexe simplicial
by: Chebbi, Yassin
Published: (2018)

O método do referencial móvel e sistemas diferenciais exteriores
by: Alcantara, Carlos Henrique Silva
Published: (2019)

ASPECTS OF THE GEOMETRY OF METRICAL CONNECTIONS
by: Wells, Matthew J.
Published: (2009)

Commensurability classes of three and four dimensional hyperbolic simplices
by: Boyd, Carl J.
Published: (2003)

Level N bordism and elliptic genera
by: Sommers, Marc Ulrich
Published: (2003)

The interpretation of observational errors in the eighteenth and early nineteenth centuries
by: Tilling, Laura
Published: (1973)

Gauss's theorem on sums of 3 squares sheaves, and Gauss composition
by: Gunawan, Albert
Published: (2016)

Supersymmetric Curvature Squared Invariants in Five and Six Dimensions
by: Ozkan, Mehmet
Published: (2013)

Desigualdades de Hitchin-Thorpe e Miyaoka-Yau
by: Rodrigues, Diego de Sousa
Published: (2015)

Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula>
by: Ekaterina O. Pozdeeva
Published: (2021-06-01)

Το θεώρημα Tarski-Seidenberg : συνέπειες και μία διδακτική έρευνα στη θεωρία πολυωνύμων με πραγματικούς συντελεστές
by: Νταργαράς, Κωνσταντίνος
Published: (2015)

Approximation of Gaussian Curvature by the Angular Defect: An Error Analysis
by: Marie-Sophie Hartig
Published: (2021-02-01)