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Lectures on Symplectic Geometry (PDF 225P)
This note contains on the following subtopics of Symplectic Geometry, Symplectic Manifolds, Symplectomorphisms, Local Forms, Contact Manifolds, Compatible Almost Complex Structures, Kahler Manifolds, Hamiltonian Mechanics, Moment Maps, Symplectic Reduction, Moment Maps Revisited and Symplectic Toric Manifolds.
Author(s): Ana Cannas da Silva
225 Pages 
Classical Differential Geometry Peter Petersen
This book explains the following topics: General Curve Theory, Planar Curves, Space Curves, Basic Surface Theory, Curvature of Surfaces, Surface Theory, Geodesics and Metric Geometry, Riemannian Geometry, Special Coordinate Representations.
Author(s): Peter Petersen
256 Pages
Differential Geometry in Toposes
This note explains the following topics: From Kock–Lawvere axiom to microlinear spaces, Vector bundles,Connections, Affine space, Differential forms, Axiomatic structure of the real line, Coordinates and formal manifolds, Riemannian structure, Well-adapted topos models.
Author(s): Ryszard Pawe Kostecki
93 Pages
Discrete Differential Geometry
This note covers the following topics: Discrete Curves, Curves and curvature, Flows on curves, Elastica, Darboux transforms, Discrete Surfaces, Abstract discrete surfaces, Polyhedral surfaces and piecewise flat surfaces, Discrete cotan Laplace operator, Delaunay tessellations, Line congruences over simplicial surfaces, Polyhedral surfaces with parallel Gauss map, Willmore energy.
Author(s): Alexander I. Bobenko
144 Pages
Differential Geometry Of Three Dimensions
This book describes the fundamentals of metric differential geometry of curves and surfaces.
Author(s): C. E Weatherburn
280 Pages
Lectures on Symplectic Geometry (PDF 225P)
This note contains on the following subtopics of Symplectic Geometry, Symplectic Manifolds, Symplectomorphisms, Local Forms, Contact Manifolds, Compatible Almost Complex Structures, Kahler Manifolds, Hamiltonian Mechanics, Moment Maps, Symplectic Reduction, Moment Maps Revisited and Symplectic Toric Manifolds.
Author(s): Ana Cannas da Silva
225 Pages
Notes on Differential Geometry and Lie Groups
This note covers the following topics: Matrix Exponential; Some Matrix Lie Groups, Manifolds and Lie Groups, The Lorentz Groups, Vector Fields, Integral Curves, Flows, Partitions of Unity, Orientability, Covering Maps, The Log-Euclidean Framework, Spherical Harmonics, Statistics on Riemannian Manifolds, Distributions and the Frobenius Theorem, The Laplace-Beltrami Operator and Harmonic Forms, Bundles, Metrics on Bundles, Homogeneous Spaces, Cli ord Algebras, Cli ord Groups, Pin and Spin and Tensor Algebras.
Author(s): Jean Gallier
744 Pages
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Author(s): NA
NA Pages
Notes on Differential Geometry, Lars Andersson 1
This note covers the following topics: Linear Algebra, Differentiability, integration, Cotangent Space, Tangent and Cotangent bundles, Vector fields and 1 forms, Multilinear Algebra, Tensor fields, Flows and vectorfields, Metrics.
Author(s): Lars Andersson
25 Pages
Lecture Notes in Differential Geometry (PS)
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Author(s): NA
NA Pages
Natural Operations in Differential Geometry
This book is a monographical work on natural bundles and natural operators in differential geometry and this book tries to be a rather comprehensive textbook on all basic structures from the theory of jets which appear in different branches of differential geometry.
Author(s): Ivan Kolar, Jan Slovak and Peter W. Michor
NA Pages
Natural operations in differential geometry
This book covers the following topics: Manifolds And Lie Groups, Differential Forms, Bundles And Connections, Jets And Natural Bundles, Finite Order Theorems, Methods For Finding Natural Operators, Product Preserving Functors, Prolongation Of Vector Fields And Connections, General Theory Of Lie Derivatives.
Author(s): Ivan Kolar, Jan Slovak and Peter W. Michor
437 Pages
Course of differential geometry
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Author(s): NA
NA Pages
Topics in Differential Geometry
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Author(s): NA
NA Pages
Functional Differential Geometry
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Author(s): NA
NA Pages
Complex Manifolds and Hermitian Differential Geometry
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Author(s): NA
NA Pages
Differential Geometry Reconstructed A Unified Systematic Framework
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Author(s): NA
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