Question

Showing $\int_{-1}^1\frac{m(2m-1)x^{2m-2}(1-x^{2m})+m^2x^{4m-2}}{(m^2x^{4m-2}+1-x^{2m})\sqrt{1-x^{2m}}}dx=\pi$, algebraically

score 321 · Answer 1 · 2021-03-16 05:30:09

321

Views

Showing $\int_{-1}^1\frac{m(2m-1)x^{2m-2}(1-x^{2m})+m^2x^{4m-2}}{(m^2x^{4m-2}+1-x^{2m})\sqrt{1-x^{2m}}}dx=\pi$, algebraically

Published on 16 Mar 2021 - 5:30

score 158 · Answer 2 · 2021-03-18 10:52:33

158

Views

Prove that the normal curvature satisfies $\left|k_{n}\right| \geq 1 /|p|$

Published on 18 Mar 2021 - 10:52

score 223 · Answer 3 · 2021-03-19 20:34:18

223

Views

Yamabe Positive iff Admits Metric of Positive Scalar Curvature

Published on 19 Mar 2021 - 20:34

score 471 · Answer 4 · 2026-04-01 23:30:11

471

Views

Normal and Gaussian Curvature on a sphere

Published on 01 Apr 2026 - 23:30

score 25 · Answer 5 · 2021-03-21 23:32:09

25

Views

Show that $\gamma'' = \kappa_n N + \kappa_g N \times \gamma'$

Published on 21 Mar 2021 - 23:32

score 60 · Answer 6 · 2021-03-22 10:44:43

60

Views

Mean curvature after reflection

Published on 22 Mar 2021 - 10:44

score 174 · Answer 7 · 2026-02-23 09:07:32

174

Views

References to Q-curvature

Published on 23 Feb 2026 - 9:07

score 113 · Answer 8 · 2021-03-23 11:23:37

113

Views

one substitution in Chern's intrinsic proof of Gauss-Bonnet-Chern theorem

Published on 23 Mar 2021 - 11:23

score 277 · Answer 9 · 2026-02-23 09:10:57

277

Views

Schouten theorem and doubts in the calculation of the tensor derivative

Published on 23 Feb 2026 - 9:10

score 172 · Answer 10 · 2021-03-28 15:50:44

172

Views

No-Flat Topologies?

Published on 28 Mar 2021 - 15:50

score 155 · Answer 11 · 2021-04-01 19:13:32

155

Views

How to know the radius of curvature that can be achieve with a line?

Published on 01 Apr 2021 - 19:13

score 182 · Answer 12 · 2021-04-02 23:40:15

182

Views

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Published on 02 Apr 2021 - 23:40

score 60 · Answer 13 · 2021-04-03 12:22:19

60

Views

Could you provide some easy examples for positive mean curvature surfaces?

Published on 03 Apr 2021 - 12:22

score 6.1k · Answer 14 · 2021-04-03 22:40:29

6.1k

Views

what is the actual curvature of earth, either per kilometer (km of sea-level distance, round, not straight line), either calculated

Published on 03 Apr 2021 - 22:40

score 148 · Answer 15 · 2021-04-05 09:34:48

148

Views

Surface swept out by tangent vector

Published on 05 Apr 2021 - 9:34

List Question

Showing $\int_{-1}^1\frac{m(2m-1)x^{2m-2}(1-x^{2m})+m^2x^{4m-2}}{(m^2x^{4m-2}+1-x^{2m})\sqrt{1-x^{2m}}}dx=\pi$, algebraically

Prove that the normal curvature satisfies $\left|k_{n}\right| \geq 1 /|p|$

Yamabe Positive iff Admits Metric of Positive Scalar Curvature

Normal and Gaussian Curvature on a sphere

Show that $\gamma'' = \kappa_n N + \kappa_g N \times \gamma'$

Mean curvature after reflection

References to Q-curvature

one substitution in Chern's intrinsic proof of Gauss-Bonnet-Chern theorem

Schouten theorem and doubts in the calculation of the tensor derivative

No-Flat Topologies?

How to know the radius of curvature that can be achieve with a line?

Normal Curvature and Differential Map

Could you provide some easy examples for positive mean curvature surfaces?

what is the actual curvature of earth, either per kilometer (km of sea-level distance, round, not straight line), either calculated

Surface swept out by tangent vector

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