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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.
Graduate Closed integration of exact form
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Graduate Geometric Interpretation of VSEPR Theory
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Graduate Can Circulation be Computed in a System with an Open Path of Integration?
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Graduate Is a Manifold Defined by Sheaves Always Hausdorff?
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Graduate Exploring the 3-Sphere: A Beginner's Guide to Higher Dimensions
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Graduate Why is grad(f) a covariant vector
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Graduate Transformation behavior of the gradient
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Graduate Is Mean Curvature Invariant Under Coordinate Changes?
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Graduate Is every smooth simple closed curve a smooth embedding of the circle?
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Graduate Exploring Ansatz Metric of 4D Spacetime
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Graduate Geometrical interpretation of this coordinate transformation
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Graduate Christoffel Symbol Ansatz for 4D Spacetime
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Graduate Integrable vs. Completely Integrable Distributions
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Graduate Find the point on a cone that is farthest in a given direction
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Graduate Constructing a chart with coord. basis equal to given basis at one pt.
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Graduate Why Are Homology Groups Not MUCH Larger?
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Graduate Are left-invariant fields mapped onto the manifold Killing vectors?
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Graduate Condition for a vector field be non-linear
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Graduate Solving Two Parabola Problems: Proving & Finding Values
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Graduate Vector fields, flows and tensor fields
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Graduate Geodesic equations and Christoffel symbols
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Graduate What are independent terms in Magnetic Tensor
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Graduate Tangent vector to curve - notational confusion.
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Graduate Killing vector field => global isomorphisms?
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Graduate Bounding General Shapes with Polygons, Especially Concave
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Graduate Questions on Orbifolds S^1/Z_2 and T^2/Z_2
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Graduate Recovering a frame field from its connection forms
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Graduate How Does the Restricted Three Body Problem Define Motion Manifolds?
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Graduate Connecting Lagrangian Density with Field Theory
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Graduate Is the Gradient of a Contravariant Vector a Covariant Vector?
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Graduate Problem about taking measurements in flat metric spaces
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Graduate Virtues of principal/associated bundle formulation of covariant deriv.
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Graduate Why are Invariants so special?
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Graduate Symmetrization of a tensor in spherical coordinate
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Graduate How to prove a vector bundle is non-trivial using transition functions
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Graduate Can Scalar Fields Be Decomposed into Symmetric and Antisymmetric Parts?
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Graduate Vector Derivatives Explained: Definition and Examples
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Graduate Circulation Definition: Understanding Positive, Null, and Negative Circulation
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Graduate Differential forms and differential operators
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Graduate Why Can Only Directional Derivatives Be Computed for Scalar Fields?
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Graduate Understanding Gradient and Curl: Equations and Directions
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Graduate What is the relationship between Lie algebras and Lie groups on a manifold?
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Graduate Left-invariant vector field of the additive group of real number
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Graduate Is GL(n,C) the biggest complex manifold within GL(2n,R)?
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Graduate Diferentiation and differential operators
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Graduate Are all closed forms exact? Are all exact forms closed?
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Graduate Complete vector field X => X defined on the whole manifold?
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Graduate Generalized Helix: What Do You Think?
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Graduate Surface calculation (no integration)
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Graduate Is Fibre Bundles Cartan's Generalization of Klein's Erlagen Program?
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Graduate The true TFC for surface integrals
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Graduate Curl in 2D is a vector or a scalar?
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Graduate Why are Lie Subgroups Defined as Immersed Submanifolds?
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Graduate How Can You Find the Inverse of the Exterior Derivative?
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Graduate Poor Phrasing of a Lie Group Theorem
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Graduate Derivations vs Directional derivatives
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Graduate Closed ball is manifold with boundary
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Graduate What is the mathematical concept behind the shear in gravitational lensing?
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Graduate Unit vectors in different coordinates
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Graduate Originary Curves: Mathematical & Physical Properties
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Graduate Is the Modulus of a Tensor Calculated Differently Than a Vector?
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Graduate Why Does the Constant Rank Theorem Hold True?
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Graduate Why is a Kähler form not always holomorphic?
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Graduate Cauchy Stress Tensor: Equilibrium Equations
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Graduate Metric and existence of parallel lines
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Graduate Geodesic curvature, normal curvature, and geodesic torsion
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Graduate Why Can't Polar Basis Vectors Be Defined as Unit Vectors?
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Graduate Connection between cesaro equation and polar coordinates
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Graduate 2nd tangential angle and torsion
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Graduate Curvatures at Surface point for non-normal planes
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Graduate Is Complex Torsion the Key to Understanding Circular Helices Operations?
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Graduate R, dr and d²r and curvilinear coordinates
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Graduate What is the role of theta in representing polar vectors?
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Graduate Group Cohomology: Borel's Finite & Lie Group Cases
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Graduate Existence of Hodge Dual: obvious or non-trivial?
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Graduate Understanding Laplacian's Theorem: A Comprehensive Guide
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Graduate Parallel transport around a loop
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Graduate Admitting Metric: Meaning & Explanation
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Graduate Charts on submersions (manifolds).
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Graduate Understanding Triply Periodic Surfaces: Translations and Invariance?
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Graduate What are the components of the vector d²r in relation to dr?
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Graduate Symmetry (killing vector) preserving diffeomorphisms
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Graduate Yet more elementary questions about the tangent space
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Graduate Derivative of Unit Vector in a Rotating Frame
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Graduate Formulating a Method of Steepest Ascent on Lie Groups
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Graduate Conditions for Solution to Pullback Equation on Forms?
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Graduate Example of a topological manifold without smooth transition functions.
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Graduate Program Computing Wedge of Differential Forms?
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Graduate Why Is My Covariant Derivative Result Incorrect?
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Graduate Is Local Flow of a Vector Field a Diffeomorphism?
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Graduate Understanding Derivatives of f(r) in Multiple Variables
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Graduate Smooth maps between manifolds domain restriction
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Graduate Are any two geodesics the same after applying an isometry?
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Graduate What Does Null-Homotopic Framing Mean in Knot Topology?
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Graduate How Do Different Coordinate Systems Affect Vector Operations?
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Graduate Is it possible to specify a 3d surface in 4d space with just one vector?
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Graduate Metric tensor after constructing a quotient space.
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Graduate Are you ready to test my knowledge of tensors?
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Graduate Deductions about extending a pseudo-riemannian manifold
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Graduate Top Homology of Connected , Orientable Manifolds with Boundary
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