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The curve of surface's self-intersection

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#general-topology #geometry #surfaces #parametric #curves
4.1k
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When does a space admit a flat metric?

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#differential-geometry #differential-topology #riemannian-geometry #surfaces
294
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$M$ oriented surface, diffeomorphism $f:M \to M$ is $C^2$-homotopic to the identity, $f$ preserves orientation

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#real-analysis #integration #differential-geometry #homotopy-theory #surfaces
793
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Find conditions for a surface of rotation to be regular

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#differential-geometry #surfaces
419
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Finding the point on a bilinear surface closest to a given point: determining if an analytic solution is possible

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#optimization #surfaces #nonlinear-optimization #nonlinear-system
77
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Non-Holonomic Basis in Euclidean Space on a Surface

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#linear-algebra #differential-geometry #tensors #surfaces #change-of-basis
566
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Line of best fit on the surface of a sphere

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#geometry #surfaces #spherical-coordinates #spheres
1.3k
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Show that at regular surface is orientable if it has a smooth normal vector field

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#differential-geometry #surfaces #orientation
201
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Parametrize an helicoid around a spiral

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#geometry #surfaces #algebraic-curves
296
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Surfaces of revolution perpendicular to the plane xOy

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#differential-geometry #surfaces #parametrization
534
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Surfaces of revolution with curvature 0

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#differential-geometry #surfaces #curvature #solid-of-revolution
356
Views

Some relations between signed distance function, closest point mapping, and tangential projection of an embedded surface?

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#geometry #differential-geometry #partial-differential-equations #manifolds #surfaces
1k
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If $S$ is homeomorphic to a torus $\Rightarrow$ $S$ has a differentiable vector field without singular points

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#differential-geometry #riemannian-geometry #smooth-manifolds #surfaces #vector-fields
57
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What is the ratio of $A_1$ and $A_2$

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#volume #surfaces
713
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What is the increase of surface area and volume of this sphere?

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#volume #surfaces

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