Question

Does positive Yamabe invariant imply every metric in that conformal class has positive scalar curvature?

score 482 · Answer 1 · 2017-12-04 21:47:53

482

Views

Does positive Yamabe invariant imply every metric in that conformal class has positive scalar curvature?

Published on 04 Dec 2017 - 21:47

score 173 · Answer 2 · 2017-12-07 16:36:02

173

Views

How can $z^\alpha$ for $\alpha>0$ be a conformal mapping?

Published on 07 Dec 2017 - 16:36

score 69 · Answer 3 · 2017-12-07 20:47:00

69

Views

Let be a function defined by $F(x,y)=(x^3-\alpha xy^2, \alpha x^2y-y^3)$. How can I define $\alpha$ such as $F$ is a conformal map?

Published on 07 Dec 2017 - 20:47

score 82 · Answer 4 · 2026-03-28 09:45:46

82

Views

Conformal Map from Substrip $\{|z|<1, 0<\mathrm{Im}(z)<1/2\}$ of a Circle to Upper Half Plane

Published on 28 Mar 2026 - 9:45

score 632 · Answer 5 · 2026-03-28 09:43:55

632

Views

Automorphism of unit disc maps unit circle onto itself

Published on 28 Mar 2026 - 9:43

score 275 · Answer 6 · 2017-12-11 11:29:21

275

Views

Simply connected noncompact complete 2-dimensional submanifold of $\mathbb{R}^3$

Published on 11 Dec 2017 - 11:29

score 362 · Answer 7 · 2026-03-27 11:46:50

362

Views

Proving a generalization of Liouville's Theorem

Published on 27 Mar 2026 - 11:46

score 223 · Answer 8 · 2026-03-30 05:13:52

223

Views

Let $f(z)=z+\frac{1}{z}$ for $z\in \mathbb C$ with $z\ne 0$. Which of the following is always true?

Published on 30 Mar 2026 - 5:13

score 93 · Answer 9 · 2026-03-26 12:41:20

93

Views

A surface with finite Euler Characteristic is conformally equivalent to a closed Riemann surface

Published on 26 Mar 2026 - 12:41

score 185 · Answer 10 · 2026-03-26 17:30:12

185

Views

Do orthogonal functions map to orthogonal functions under a conformal transformation?

Published on 26 Mar 2026 - 17:30

score 1.1k · Answer 11 · 2017-12-21 18:29:49

1.1k

Views

What is the conformal map of a rectangle into a band?

Published on 21 Dec 2017 - 18:29

score 406 · Answer 12 · 2017-12-23 04:55:50

406

Views

Existence of conformal mapping between two regions

Published on 23 Dec 2017 - 4:55

score 186 · Answer 13 · 2018-01-02 14:48:27

186

Views

Conformal map to unit disc

Published on 02 Jan 2018 - 14:48

score 141 · Answer 14 · 2026-03-28 13:22:09

141

Views

The group of Mobius Transforms and their conjugates/reflections?

Published on 28 Mar 2026 - 13:22

score 365 · Answer 15 · 2026-03-03 22:16:35

365

Views

Area preserving bijection between square and circle that is conformal on the perimeter?

Published on 03 Mar 2026 - 22:16

List Question

Does positive Yamabe invariant imply every metric in that conformal class has positive scalar curvature?

How can $z^\alpha$ for $\alpha>0$ be a conformal mapping?

Let be a function defined by $F(x,y)=(x^3-\alpha xy^2, \alpha x^2y-y^3)$. How can I define $\alpha$ such as $F$ is a conformal map?

Conformal Map from Substrip $\{|z|<1, 0<\mathrm{Im}(z)<1/2\}$ of a Circle to Upper Half Plane

Automorphism of unit disc maps unit circle onto itself

Simply connected noncompact complete 2-dimensional submanifold of $\mathbb{R}^3$

Proving a generalization of Liouville's Theorem

Let $f(z)=z+\frac{1}{z}$ for $z\in \mathbb C$ with $z\ne 0$. Which of the following is always true?

A surface with finite Euler Characteristic is conformally equivalent to a closed Riemann surface

Do orthogonal functions map to orthogonal functions under a conformal transformation?

What is the conformal map of a rectangle into a band?

Existence of conformal mapping between two regions

Conformal map to unit disc

The group of Mobius Transforms and their conjugates/reflections?

Area preserving bijection between square and circle that is conformal on the perimeter?

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