Recent content by shanky

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    Graduate What are the metric tensor and Christoffel symbols on ℝ²?

    Yah its manifold - tangent spaces. My main question was what does Riemannian metric tensor and Christoffel symbols on R2 mean? Illustrate with example
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    Graduate What are the metric tensor and Christoffel symbols on ℝ²?

    3D object in Riemannian Space ... real vector space with D=2 dimensions
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    Undergrad 3D object represent with primitive shapes

    I am trying to decompose 3D object (eg. Bunny) into primitive shapes basis functions.
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    Undergrad 3D object represent with primitive shapes

    Hi Orodruin, Can you be more clear. Why No and isn't it write to represent 3D objects into any primitive shapes.
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    Undergrad 3D object represent with primitive shapes

    Hi, Given a 3D object in R3 space can we represent it using three basic primitive shapes like Sphere, Cone and Cylinder? Would this claim be valid?
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    Graduate What are the metric tensor and Christoffel symbols on ℝ²?

    Thanks Orodruin. But I want metric tensor(MT) and Christoffel symbols(CS) in R2 perspective? Consider any 3D object in space how does MT and CS look in R2? What do you mean by choosing coordinate system ? Is it world / Cartesian coordinate system you mean?
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    Graduate What are the metric tensor and Christoffel symbols on ℝ²?

    Hi, Want to know (i) what does Riemannian metric tensor and Christoffel symbols on R2 mean? (ii) How does metric tensor and Christoffel symbols look like on R2? It would be great with an example as I am new to this Differential Geometry.
    • shanky
    • Thread
    • Christoffel symbols Differential geometry Metric Metric tensor Riemannian geometry Tensor
    • Replies: 7
    • Forum: Differential Geometry
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