Differential Geometry Forum

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Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Undergrad Pi and Curved Spaces - Is it Constant?
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Graduate Using surgeries to construct 4-manifolds of arbitrary topology
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Graduate Understanding S^2 as the Quotient of SO(3) and SO(2)
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Graduate How Do Cartesian Components Transform into Cylindrical Coordinates?
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Graduate Question on the properties of a manifold
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Graduate What is the Vectorfield X(f) for a Function f(x,y,z)?
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Graduate Solving Curvature Math Problems with Christoffel Symbols
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Undergrad What is a Tensor? Explained in Simple Terms
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Graduate Proving Orthogonality of Planes and Lines in 3D Geometry
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Graduate Extrinsic and Intrinsic Curvature
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Graduate Writing tensors in a different way?
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Graduate Proof That An Infinite Dimensional Universe May Not Exist
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Graduate How to Find Functions for Constant Arc Length with Varying Amplitude and Period?
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Graduate Moments of Inertia for a right circular solid cone of mass
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Graduate Is the Definition of a Topological Space Paradoxical?
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Graduate Cross product in higher dimensions?
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Graduate Manifold Question: Tensor Analysis for Beginners
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Graduate How many lines can intersect four lines in space?
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Graduate Can Unbounded 3D Space Truly Exist?
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High School Why Don't Surface Area & Volume Ratios of Spheres Match?
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Graduate What do topologically stable maps mean?
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Graduate Proving Triangle Area of Curve x^2-2y^2=4 Constant
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Graduate Can Stereographic Projection from Unit Sphere to Plane be Proven as Injective?
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Undergrad Interior angles of a triangle on a spherical surface
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Graduate Tensors & Differential Geometry - What are lie groups?
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Graduate Rank 2 covariant tensors and dimesionality
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Looking for The Heat Equation Shrinking Convex Plane Curves by M.A. Grayson?
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Graduate Spinor Decomposition of a tensor
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Graduate The covariant derivative of a contravariant vector
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Graduate Calculating Equation of Evolute for Catenary Curve
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Graduate Understanding Differential Geometry in Thermodynamics
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Undergrad Differential Equations diameter of a spiral
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Graduate Closure of an open ball and separable space?
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Graduate Spherical geometry, some simple things
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High School Unravelling Surface Area of a Dome
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Graduate Solutions in differential forms
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Graduate Why Doesn't Linearity of Integrals Apply to Differential Forms?
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Undergrad How Do You Solve Sphere Inscription and Shadow Length Problems?
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Undergrad What is a Tensor? Definition & Applications
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Graduate Which Textbook for Studying Homotopy is Best for Beginners?
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Undergrad What is the formula for finding the surface area of an inclined cone?
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Graduate About the basics of Poisson bracket
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Undergrad Finding Cartesian Equations for Intersecting Planes and a Line
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Graduate Corses on vector and principale bundles and spinorielle geometry
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Graduate Algebraic Geometry: Proofs, Homeomorphism & Compactness
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Graduate Differential Geometry And Difference Geometry?
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Undergrad I need to know how can i solve the following
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Undergrad Calculating Volume with Double Integrals: Finding Limits for Enclosed Space
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Graduate Proof that grad V is a (1,1) tensor
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Graduate Most efficient backgrounder on differential geometry ?
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Graduate Visualization of contangent vector?
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High School Sum of interior angle is NOT 180, or is 0 degree?
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Graduate Non-degenerate Poisson bracket and even-dimensional manifold
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Graduate What Are Quotient Spaces and How Can We Visualize Equivalence Classes?
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Graduate Tagent vector and vector field difference
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Graduate Understanding the Topology of Klein Bottles and Mobius Strips
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Graduate Showing scalars are unchanged by rotation
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Graduate What is the 2nd Fundamental Form and how does it relate to geometry in 3-space?
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Graduate Distance in hyperbolic geometry
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Graduate How to Cluster Lines in an Elliptic Mesh Generator Using Matlab?
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Graduate Volume of a parallelepiped's sign
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Undergrad Tensors & Manifolds: Best Intro Book for Beginners
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Graduate Where Can I Find Master's Level Courses in Differential Geometry?
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Undergrad Understanding Curves: f(x) = sin(x), g(x) = cos(x)
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Graduate Is the Algebraic Structure of Vector Bundles Truly Just a Module Theory Analogy?
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Graduate How Do Lie Groups Influence Physics and Background Independence?
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Graduate How do I prove that d^u(phi) is a contravariant 4-vector?
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Graduate Directionality in Stokes Theorem for Volumes
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Graduate What Are the Practical Applications of Differential Geometry Beyond Mathematics?
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Graduate What is the Significance of Diffeomorphism Invariance in Physics?
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Graduate Is learning Tensors necessary for understanding Special Relativity?
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Graduate What is the significance of the Christoffel symbol as a tensor?
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Graduate Understanding Intrinsic and Extrinsic Curvature: An Intuitive Explanation
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Undergrad So what is the relationship between curves and circles?
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Graduate Unlink Tori with Continuous Deformations: Topology & Free Software
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Graduate Finding Total Area of Intersecting Planes
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Undergrad What are some practical applications of tensors in physics and mathematics?
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Graduate How can I apply tensor to reality?
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Graduate What are differential forms and why are they important in physics?
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Graduate What Makes a Vector Different from Other Mathematical Objects?
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Graduate Hodge numbers of 2n-dimensional torus
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Graduate Tensor Product of Covariant and Contravariant Vectors
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Graduate What Are the Best Books for Understanding Manifolds and Tensors?
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Graduate Can Planar Surfaces Form Knots in Four Dimensions?
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Undergrad Solving Tangent Plane and Perpendicular Plane at (1,1,1)
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Graduate Covariance of Differential Operators in Special Relativity
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Undergrad Cube Question In Space Geometry
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Graduate What Are the Key Groups in Gravity and Quantum Gravity?
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Graduate How Does Curvature Vary in Non-Euclidean Triangle Manifolds?
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Graduate Finding Tangent Vectors for Unit Normal (nx=ny=nz)
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Undergrad Parallel lines and space curvature
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Graduate Tensors may be considered a special class
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Undergrad What are the uses and properties of a Surface Patch?
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Graduate Some basic problems in Riemannian Geometry
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Graduate How can we prove the covariant derivation of the Riemann-Christoffel tensor?
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Graduate Where Can I Find a Proof for the Four Vertex Theorem?
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Graduate Proofs of Equations Involving Metric Tensors and Christoffel Symbols
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Undergrad Tangent/normal/area for this Circle
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Graduate Riemannian Geometry: What is It?
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Graduate What Are the Best Resources to Learn About Non-Commutative Geometry?
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