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 Where Can I Find Tensor Learning Resources with Solved Examples and Exercises?
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Graduate Some elementary geometry questions
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Graduate What Does the Matrix A Represent in Manifold Gradient Calculations?
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Graduate What is the connection between discrete torus geometry and lines on an NxN grid?
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Graduate Differential forms and divergence
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Graduate How Do Nearby Geodesics Deviate in Curved Spaces?
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Graduate Is (S^n) X R Parallelizable for All n?
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Undergrad Convert the coordiates of one vector between 2 Cartesian system
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Graduate Why does one form need to be used over the other?
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Graduate Isometric Immersion: Finding Geodesic Curves
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Graduate Christoffel symbols from definition or Lagrangian
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Graduate How Do Induced Maps Affect Higher Rank Tensors?
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Graduate Tensor Analysis Basics for Non-Experts
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Undergrad Arc Length of an Ellipse: Formula & Calculation
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Graduate Is the Submersion Property Preserved in Maps Between R and S^1?
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Graduate Why are tangent vectors like this?
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Graduate Symmetrizing and skew symmetrizing tensors
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Graduate Is the Boundary of an n-Dimensional Space Always n-1 Dimensional?
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Graduate Identities for covariant derivative
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Graduate To distinguish if a critical point is a saddle point or not,. .
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Graduate Proving Existence of Vector Field X for 1-Form w on Smooth Manifold M
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Graduate Proof of Proposition 2 in Ch.7 Spivak Vol.2: n-Dimensional Distribution?
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Graduate Differential Forms on Smooth Manifolds
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Graduate Can this vector equation be proven?
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Undergrad How Do You Reverse a Vector Transformation?
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Graduate Comprehensive intro to diff geometry by Spivak Vol2.
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Undergrad Create bezier curve from 2 conected curve
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Graduate What is the purpose of contraction in tensor algebra?
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Graduate Tensor Newbie trying to find Kolecki's rhythm
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Graduate Holonomy, SO(6), SU(3) and SU(4)
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Graduate The Cramer-Euler-McLaurin Paradox
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Graduate Evaluate Ai = (Epsilon)ijk bj bk
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Graduate Solved problems on manifolds: A resource for physics students
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Graduate Simple questions about weyl rescaling/Conformal transfo
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Graduate Exact definition of differential forms
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Undergrad Describing Curvature of a Non-Uniform Curve Using Second Derivative Average?
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Graduate Help with Lagrangian to Eulerian transformation
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Graduate Taking a course in calculus on manifolds.
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Graduate Symmetric Matrices as Submfld. of M_n. Prelim
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Graduate Help with universal theorem of coefficients for homology
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Graduate What is the significance of \hat{\theta} in polar vector coordinates?
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Graduate Proving Equivalence of Lie Bracket Definitions for Lie Groups
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Graduate There is one point I don't understand about G-torsor.
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Graduate One-Parameter Groups:John Lee's Vector Field Analysis
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Graduate Poisson's Identity: Solving ((φλ)χ)+((λχ)φ)+((χφ)λ)=0
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Graduate Thurston Geometries: Get the Facts on Left-Invariant Metrics
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Graduate Is a Function from R^n to R^m Considered a 0-Form on R^n?
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Undergrad Sketch of curves defined by parameters
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Graduate What Is First-Countability in a Metric Space: Missed Point Explained
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Undergrad Deriving the Surface Area of Sphere
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Graduate Tensor Conventions for Contravariant and Covariant Notation
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Graduate Smooth Charts on immersion image.
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Graduate Continuous Function f: A x B to C
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Graduate The Lie Derivative: Physical Significance & Tensor Analysis
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Graduate Understanding Scalars in Mathematical Physics: Insights and Clarifications
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Graduate Sufficient Condition for Adjoint Representation Kernel to be Lie Group Center
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Graduate Why is Schouten's book on tensor analysis not recommended for physicists?
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Graduate Intro to tensor material - If you have time please
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Undergrad Why is Time Considered a Scalar in Mathematics and Physics?
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Graduate How can the isomorphism of pullback bundles by homotopic maps be proven?
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Graduate Tangent spaces and derivations
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Graduate Angle preserving transformations
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Graduate Learn About Grassmann Manifolds: Intro, Charts, Atlas
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Graduate How to relate a one form to a vector.
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Graduate A simple derivation involving the Hodge dual
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Graduate Can You Perform Vector Calculations in Fractal Dimensions?
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Graduate Discovering the Functions of $\Bbb{R}^{2}\times _{\phi }\Bbb{R}$ in 3D Lie Groups
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Graduate Evaluating Symmetric/Antisymmetric Tensors Rank 5 Dimension 999
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Graduate Elementary Differential Geometry Questions
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Graduate How to Find the Inverse of a 4th Order Tensor in the Isotropic Case
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Graduate How many coordinate charts does it take to cover a surface?
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Undergrad Proving the theorem (Appolonius) for the triangle ABC where..
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Graduate How to Prove contracted Bianchi Identity
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Graduate Limitations of Tensor Analysis in Physical Laws
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What Are Tensors and Why Should You Care?
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Graduate What is the formula for defining curvature on three-dimensional surfaces?
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Graduate How Does the Selberg Trace Formula Connect Eigenvalues and Manifold Properties?
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Graduate Expressing the Minkowski Field Tensor for Circular Currents
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Graduate Slow Roll Parameters: Deriving and Computing
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Curve with ever increasing radius
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Graduate Can a stress tensor be curled in physics?
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Graduate How Is the Weyl Tensor Derived?
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Graduate Higher Order Tensor: Learn Calculation Rules & Get Info
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Graduate What are the expressions for CURL in spherical coordinates?
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Graduate Building Invariants from Vector, Levi-Civita Symbol
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Graduate Understanding the Contravariant Derivative: A Tangential and Normal Perspective
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Graduate Bilinear forms and wedge products
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Graduate What is the Spacetime Metric and its Describing Equations in Layman's Terms?
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Graduate What is the relationship between k-forms and l-forms on an m-manifold?
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Graduate Solving Ricci Tensor Problem: Schwarzschild Metric
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Graduate Help with paper on gradient descent evolution of surfaces
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Graduate Exact sequence & meaning of a corollary?
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Undergrad Math Newb Wants to know what a Tensor is
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Undergrad Rotating 2D coordinate geometry/conic sections into 3D - how?
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Graduate Is a Second Order Symmetric Tensor Always Represented by a Symmetric Matrix?
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Undergrad What Are Partitions of Unity in Mathematics?
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High School Poincare Conjecture Explained: Layman's Terms
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Graduate How Do Changes in Curvilinear Coordinates Affect Unit Vectors?
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Graduate Bonnet Transformation: Explaining the Alpha-Helix to Beta Barrel Transition
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Graduate Can Geodesics Be Inflectional in Euclidean Space?
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