8.286 The Early Universe
8.286 The Early Universe (Fall 2013, MIT OCW). Instructor: Professor Alan Guth. The Early Universe provides an introduction to modern cosmology. The first part of the course deals with the classical cosmology, and later part with modern particle physics and its recent impact on cosmology.
(from ocw.mit.edu )

Lecture 11 - Non-Euclidean Spaces: Closed Universes
VIDEO

In this lecture, the professor reviewed Euclid's Postulates and talked about non-Euclidean geometry and a sphere in 4 Euclidean dimensions.

Go to the Course Home or watch other lectures:

Lecture 01 - Inflationary Cosmology: Is Our Universe Part of a Multiverse? Part I
Lecture 02 - Inflationary Cosmology: Is Our Universe Part of a Multiverse? Part II
Lecture 03 - The Doppler Effect and Special Relativity
Lecture 04 - The Kinematics of the Homogeneous Expanding Universe
Lecture 05 - Cosmological Redshift and the Dynamics of Homogeneous Expansion, Part I
Lecture 06 - The Dynamics of Homogeneous Expansion, Part II
Lecture 07 - The Dynamics of Homogeneous Expansion, Part III
Lecture 08 - The Dynamics of Homogeneous Expansion, Part IV
Lecture 09 - The Dynamics of Homogeneous Expansion, Part V
Lecture 10 - Introduction to Non-Euclidean Spaces
Lecture 11 - Non-Euclidean Spaces: Closed Universes
Lecture 12 - Non-Euclidean Spaces: Open Universes and the Spacetime Metric
Lecture 13 - Non-Euclidean Spaces: Spacetime Metric and Geodesic Equation
Lecture 14 - The Geodesic Equation
Lecture 15 - Black-Body Radiation and the Early History of the Universe, Part I
Lecture 16 - Black-Body Radiation and the Early History of the Universe, Part II
Lecture 17 - Black-Body Radiation and the Early History of the Universe, Part III
Lecture 18 - Cosmic Microwave Background Spectrum and the Cosmological Constant, Part I
Lecture 19 - The Cosmological Constant, Part II
Lecture 20 - Supernovae Ia and Vacuum Energy Density
Lecture 21 - Problems of the Conventional (Non-inflationary) Hot Big Bang Model
Lecture 22 - The Higgs Field and the Cosmological Magnetic Monopole Problem
Lecture 23 - Inflation