Differential geometry
''The Atiyah-Patodi-Singer Index Theorem'' . Free online textbook.
''The Atiyah-Singer Index Theorem: What it is and why you should care'' . Pdf presentation.
''Invariance Theory, the Heat Equation, and the Atiyah–Singer Theorem'' . Free online textbook that proves the Atiyah–Singer theorem with a heat equation approach
Gilkey: Invariance Theory, ...
Mathworld wolfram caustic
Caustic -- From MathWorld
Developable Surface entry at MathWorld wolfram
Developable Surface -- From MathWorld
Examples of developable surfaces on the Rhino3DE website design modeling developable
Rhino3DE : Developable Surfaces
Diffeology (many documents) ens lyon
Tell your friends about froola Differential_geometry
Introduction to Diffeology (a working document) ens lyon articles
Balázs Csikós's Notes on Differential Geometry geometry dif dif
Notes on Differential Geometry by B. Csik�s
Richard Palais's 3DXM Surfaces Gallery math surface gallery
Gallery of Famous Surfaces
A Modern Course on Curves and Surface, Richard S Palais, 2003 math surface
Mathworld wolfram envelope
Envelope -- From MathWorld
Rudy Rucker's KappaTau Paper faculty rucker
Rudy Rucker's KappaTau Space Curve Paper
gr-qc/0404094 arXiv.org abs
[gr-qc/0404094] The Relative Motion of Membranes
arXiv:dg-ga/9508014 abs
[dg-ga/9508014] On the Incompleteness of Berger's List of Holonomy Representations
On complex implicit functions info
Index of /
The Geometry of K3 surfaces, by David Morrison duke
K3 Surfaces and String Duality, by Paul Aspinwall abs hep
[hep-th/9611137] K3 Surfaces and String Duality
gr-qc/9904006 abs hep
[gr-qc/9904006] The Physical Interpretation of the Lanczos Tensor
Contrapedal on MathWorld
Contrapedal Curve -- From MathWorld
Crocheting the Hyperbolic Plane: An Interview with David Henderson and Daina Taimina issues crocheting
Cabinet Magazine Online - Crocheting the Hyperbolic Plane: An Interview with David Henderson and Daina Taimina
Non Euclid pseudosphere
NonEuclid: The Pseudosphere
Universe is Finite, "Soccer Ball"-Shaped, Study Hints. Possible wrap-around dodecahedral shape of the universe.
Universe is Finite, "Soccer Ball"-Shaped, Study Hints
Feb 2004 - Poincaré dodecahedral model - 11 degree matched circles abs
[astro-ph/0402608] A Hint of Poincar\'e Dodecahedral Topology in the WMAP First Year Sky Map
Oct 2003 - Poincaré dodecahedral model - WMAP statistics model predictions for a spherical local geometry
[astro-ph/0310253] Dodecahedral space topology as an explanation for weak wide-angle
temperature correlations in the cosmic microwave background
Sinh-Gordon Equation at EqWorld: The World of Mathematical Equations.
Sine-Gordon Equation at EqWorld: The World of Mathematical Equations.
More Sphere Images from Maths is Fun
Sphere
Mathworld website wolfram sphere
Sphere -- From MathWorld
MathWorld: Tangent wolfram tangent
Tangent -- From MathWorld
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Atiyah–Singer index theorem , Caustic (mathematics) , Developable surface , Diffeology , Differential geometry and topology , Envelope (mathematics) , Frenet-Serret formulas , Geodesic deviation equation , Holonomy , Implicit function , K3 surface , Lanczos tensor , Pedal curve , Pseudosphere , Shape of the Universe , Sine-Gordon equation , Sphere , Tangent , .
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