Question

Given the curve $\alpha(s)=(a \cos\frac{s}{c}, a \sin\frac{s}{c}, b\frac{s}{c})$ show that the tangent lines make a constant angle with the $z$ axis

score 69 · Answer 1 · 2026-04-14 19:45:24

Given the curve $\alpha(s)=(a \cos\frac{s}{c}, a \sin\frac{s}{c}, b\frac{s}{c})$ show that the tangent lines make a constant angle with the $z$ axis

score 48 · Answer 2 · 2026-04-12 00:06:22

Generalizing the notion of parallel to curved lines in $\mathbb{R}^2$ and $\mathbb{R}^3$ for an arc-length parameterized line

score 671 · Answer 3 · 2026-04-10 16:20:08

671

Views

Explanation for why the one sheeted cone is not a regular surface

Published on 10 Apr 2026 - 16:20

score 62 · Answer 4 · 2026-04-15 15:41:57

62

Views

Why does curvature $\kappa = x'y''-x''y'$ for plane curve?

Published on 15 Apr 2026 - 15:41

score 2.2k · Answer 5 · 2026-04-14 02:55:28

2.2k

Views

Why is the two sheeted cone not a regular surface?

Published on 14 Apr 2026 - 2:55

score 116 · Answer 6 · 2026-04-15 13:28:51

116

Views

Find curvature and torsion

Published on 15 Apr 2026 - 13:28

score 57 · Answer 7 · 2026-04-16 11:06:22

57

Views

Canonical projections for $\mathbb{H}^2_1$ and $\mathbb{S}^2_1$

Published on 16 Apr 2026 - 11:06

score 108 · Answer 8 · 2026-04-11 12:06:52

108

Views

Cartesian product of two sets with smooth boundary

Published on 11 Apr 2026 - 12:06

score 1.1k · Answer 9 · 2026-04-13 00:18:14

1.1k

Views

are geodesic shortest path or quickest path?

Published on 13 Apr 2026 - 0:18

score 42 · Answer 10 · 2026-04-15 10:35:07

42

Views

Lift on non star-shaped domain

Published on 15 Apr 2026 - 10:35

score 166 · Answer 11 · 2026-04-12 10:49:13

166

Views

Representation of a Lie algebra over the space of smooth functions.

Published on 12 Apr 2026 - 10:49

score 31 · Answer 12 · 2026-04-15 09:22:45

31

Views

Complex smooth maps over $(0 , \infty) \times G$.

Published on 15 Apr 2026 - 9:22

score 138 · Answer 13 · 2026-04-14 22:00:27

138

Views

Derivative of Norm Squared of the Riemann Tensor

Published on 14 Apr 2026 - 22:00

score 79 · Answer 14 · 2026-04-17 13:22:07

79

Views

$\int_{T_pM}\phi\ dx = \int_M \lambda^{-d}\phi(\lambda^{-1}\exp_p^{-1}(\cdot))\ dV_g$?

Published on 17 Apr 2026 - 13:22

score 1.7k · Answer 15 · 2026-04-12 21:12:02

1.7k

Views

The Lie bracket of $\mathfrak{gl}_n(\mathbb{R})$ is the matrix commutator

Published on 12 Apr 2026 - 21:12

List Question

Given the curve $\alpha(s)=(a \cos\frac{s}{c}, a \sin\frac{s}{c}, b\frac{s}{c})$ show that the tangent lines make a constant angle with the $z$ axis

Generalizing the notion of parallel to curved lines in $\mathbb{R}^2$ and $\mathbb{R}^3$ for an arc-length parameterized line

Explanation for why the one sheeted cone is not a regular surface

Why does curvature $\kappa = x'y''-x''y'$ for plane curve?

Why is the two sheeted cone not a regular surface?

Find curvature and torsion

Canonical projections for $\mathbb{H}^2_1$ and $\mathbb{S}^2_1$

Cartesian product of two sets with smooth boundary

are geodesic shortest path or quickest path?

Lift on non star-shaped domain

Representation of a Lie algebra over the space of smooth functions.

Complex smooth maps over $(0 , \infty) \times G$.

Derivative of Norm Squared of the Riemann Tensor

$\int_{T_pM}\phi\ dx = \int_M \lambda^{-d}\phi(\lambda^{-1}\exp_p^{-1}(\cdot))\ dV_g$?

The Lie bracket of $\mathfrak{gl}_n(\mathbb{R})$ is the matrix commutator

Trending Questions

Popular # Hahtags

Popular Questions