Question

How to find the tangent cone of $A = \{(x, y) \in \mathbb{R}^2: \; y = \sqrt{|x|}\}$ at the origin?

score 46 · Answer 1 · 2026-03-25 11:24:32

46

Views

How to find the tangent cone of $A = \{(x, y) \in \mathbb{R}^2: \; y = \sqrt{|x|}\}$ at the origin?

Published on 25 Mar 2026 - 11:24

score 59 · Answer 2 · 2023-05-02 14:28:36

59

Views

Set of linearly independent vectors in a tangent-space that spans a non-degenerate 2-plane are dense in the cartesian product of the tangent-space.

Published on 02 May 2023 - 14:28

score 201 · Answer 3 · 2023-05-08 16:38:07

201

Views

Approximate tangent space agrees with tangent space of submanifold of $\mathbb{R}^n$

Published on 08 May 2023 - 16:38

score 87 · Answer 4 · 2026-03-26 09:16:20

87

Views

Checking smoothness of curves and finding multiplicites.

Published on 26 Mar 2026 - 9:16

score 48 · Answer 5 · 2023-05-14 06:11:34

48

Views

The domain of derivative of a function defined on a manifold

Published on 14 May 2023 - 6:11

score 177 · Answer 6 · 2026-03-25 19:06:53

177

Views

Understanding the "abuse of notation" in the differential of tangent vectors

Published on 25 Mar 2026 - 19:06

score 29 · Answer 7 · 2026-03-16 07:48:20

29

Views

tangent vector of a disk embedded in R^3

Published on 16 Mar 2026 - 7:48

score 33 · Answer 8 · 2026-03-25 17:24:48

33

Views

Coordinate transformations of the tangent bundle as a manifold.

Published on 25 Mar 2026 - 17:24

score 107 · Answer 9 · 2026-03-26 01:16:45

107

Views

Is there an Approximate tangent space that is NOT a Classical tangent space?

Published on 26 Mar 2026 - 1:16

score 51 · Answer 10 · 2026-03-25 17:21:44

51

Views

On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 4.3-3. (orientability of product manifold)

Published on 25 Mar 2026 - 17:21

score 133 · Answer 11 · 2023-08-05 17:47:32

133

Views

Tangent vectors as differential operators vs equivalence classes of curve in manifold

Published on 05 Aug 2023 - 17:47

score 85 · Answer 12 · 2023-08-07 12:35:03

85

Views

Interpretation of basis of tangent space

Published on 07 Aug 2023 - 12:35

score 119 · Answer 13 · 2023-08-09 11:52:58

119

Views

Book that Develops the Theory of Tangent Space whilst Defining Tangent Vectors as Equivalence Classes of Curves

Published on 09 Aug 2023 - 11:52

score 102 · Answer 14 · 2026-03-25 18:49:53

102

Views

What properties define the tangent bundle up to diffeomorphism?

Published on 25 Mar 2026 - 18:49

score 57 · Answer 15 · 2023-08-16 19:43:53

57

Views

Singularities of the intersection of quasiprojective schemes

Published on 16 Aug 2023 - 19:43

List Question

How to find the tangent cone of $A = \{(x, y) \in \mathbb{R}^2: \; y = \sqrt{|x|}\}$ at the origin?

Set of linearly independent vectors in a tangent-space that spans a non-degenerate 2-plane are dense in the cartesian product of the tangent-space.

Approximate tangent space agrees with tangent space of submanifold of $\mathbb{R}^n$

Checking smoothness of curves and finding multiplicites.

The domain of derivative of a function defined on a manifold

Understanding the "abuse of notation" in the differential of tangent vectors

tangent vector of a disk embedded in R^3

Coordinate transformations of the tangent bundle as a manifold.

Is there an Approximate tangent space that is NOT a Classical tangent space?

On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 4.3-3. (orientability of product manifold)

Tangent vectors as differential operators vs equivalence classes of curve in manifold

Interpretation of basis of tangent space

Book that Develops the Theory of Tangent Space whilst Defining Tangent Vectors as Equivalence Classes of Curves

What properties define the tangent bundle up to diffeomorphism?

Singularities of the intersection of quasiprojective schemes

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