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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 Derivative of surface normal || tangent unit vector
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Graduate How to calculate the Euler class of a sphere bundle?
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Graduate Surface generation from constant depth planar contours
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Graduate How is Every Prime z-Filter Contained in a Unique z-Ultrafilter in T_3 Space?
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Graduate When can one reduce the structure group?
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Graduate RP1 & Complex Half Plane: How Does It Fit?
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Graduate Symplectic but Not Complex Manifolds.
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Graduate Differentiating a function on a manifold
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Graduate Covariant derivative of Lie-Bracket in normal orthonormal frame
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Graduate Can Differential Forms Help Prove the Generalized Stokes Theorem?
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Graduate Intersection of Algebraic Curves P & Q at p - Proof
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Graduate What is a realization of this surface in Euclidean space?
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Graduate Hi,I want to show that the set of boundary points on a manifold
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Graduate Pseudo-Riemannian tensor and Morse index
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Graduate Problem with quaternion rotation maths
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Graduate Algebraic varieties in a minimal space
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Graduate Riemannian surfaces as one dimensional complex manifolds
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Graduate Minimum Radius Cylinder for Tangent Line-Contact with Cone
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Graduate Definition of tangent space on smooth manifolds
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Graduate Proof of expanding algebraic functions by Puiseux series
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Graduate Must a contravariant contract with a covariant, & vice versa?
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Graduate Minimum distance between a point and a bounded line in 3D
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Graduate Proving Product of Spheres for Compact n-Manifold X - Need Help!
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Graduate Is a Tube Around a Manifold Always Orientable?
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Graduate Is there any good reference on Riemann Surface and Riemann Theta Function?
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Graduate Is there a C^infty map that is one to one from R^n to R
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Graduate How to geometrically think of a covector field
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Graduate Show that Area form is independent of parameterization?
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Graduate The Euler class of the unit tangent bundle to S^2
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Graduate What is the Genus of Riemann Surface?
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Graduate Why the Gaussian curvature is extrinsic ?
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Graduate Understanding the Möbius Bundle on a Circle
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Graduate How Is F_p/F^2_p Isomorphic to (T_p(M))^* in Smooth Manifolds?
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Graduate Extending a d-cohomology class to D-cocycle
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Graduate A Geometric Approach to Differential Forms by David Bachman
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Graduate Paths and Loops in Fundamental Group Proofs: Clarification Needed?
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Graduate Best Dover Math Books for Mathematician
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Graduate Recomended differential topology books
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Graduate Geometry: problem with defining the vertices of a tunnel around a given path
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Graduate Ordering Line Segments to form a 2D Polygon after slicing a 3D Tri Map
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Graduate HW Question, either professor is wrong or I am.
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Graduate What flows on a surface can be geodesic flows?
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Graduate Calculating the gaussian curvature of a surface
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Graduate How Arbitrary Can Affine Connections Be on a Manifold Without a Metric?
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Graduate Associating a Lie Algebra with a Lie Group
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Graduate Shutz's derivation of the Lie Derivative of a vector field
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Graduate What is the Characterization of a Function Whose Cube is Smooth?
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Graduate Constructing Onto & Continuous Function from D^{2n} to \mathbb{C}P^n
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Graduate Proof of V-E+F=2-2p (Euler's 2nd formula).
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Graduate Confusion over the definition of Lie Derivative of a Vector Field
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Graduate Is f_m Smooth When f Is a Smooth Map Between Manifolds?
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Graduate On transition functions of fiber bundle
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Graduate Smooth Extension of Locally Defined Function on Manifold
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Graduate Prove Levi-Civita Symbol is Only 3D Isotropic Tensor
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Graduate Is the Momentum-Energy Tensor Always Symmetric?
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Graduate John Lee,Smooth mfds exercise 2.16
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Graduate Alg. Geom. Regular function confusion
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Graduate Covariant derivative from connections
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Graduate Questions on connections and covariant differentiation
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Graduate Curvilinear coordinate systems and periodic coordinates
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Graduate Conformal transformations and Möbius transformations
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Graduate Introduction to Complex Simplices: Why We Need Them
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Graduate How to find the class in H^*(M)?
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Graduate Can Invariants Uniquely Define Fractals?
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Graduate Lie derivative with respect to anything else
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Graduate Can somebody give me both, an intuitive and a formal definition of a metric?
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Graduate Help with a metric tensor derivative
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Graduate Curvature form respect to principal connection
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Graduate Geodesic flows on compact surfaces
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Graduate Inside Sphere: Does It Have Negative Curvature?
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Graduate What is the maximum shortening of a string after tying an overhand knot?
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Graduate Pull-back of vectors at a SINGLE point
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Graduate F is diffeomorphism implys df is injective?
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Graduate Question about differentiable structures
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Graduate If every tangent line of a curve passes through a point, it is a line
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Graduate What Shape Does a Catenary Shadow Form on a Cylinder?
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Graduate Understanding Tangent Space Basis: Proving Intuitively
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Graduate Infinite curve with two endpoints?
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Graduate Confusion on de Rham cohomology of manifolds
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Graduate Calculating tangent spaces via curves.
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Graduate Proving Manifold with Boundary & C^/inf(M) on Smooth Manifold | FAQ
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Graduate Is the set of irrationals a complete metric space?
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Graduate What is the geometry of the pseudo sphere and what dimension does it exist in?
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Graduate Diffeomorphism of a disk and a square?
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Graduate Isometric Immersion of the Torus
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Graduate Dividing two differentials gives a total derivative how?
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Graduate Change of Coefficients in Homology and Individual Classes
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Graduate Geometric Interpretation of (lower) Cohomology?
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Graduate What is the regularity condition in the definition of a regular surface?
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Graduate What is Riemann's method for determining curvature in 3D spaces?
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Graduate Genus-g Surface and Retraction to Circle
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Graduate Covariant vector differentiation problem with kronecker delta?
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Graduate Finding inverse of linear mapping
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Graduate Constructing Explicit Deformation Retractions
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Graduate Intersection of Planes in R^3 and Dense Subsets of R^3
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Graduate Quick question - Christoffel Symbol Transformation Law
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Graduate Can anyone check this identity please?
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Graduate How to satisfy this identity (conformal model in geometric algebra)
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Graduate 2 questions on coholomogy groups
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Graduate Is there a connection between them?
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