User R. Rankin

7 votes

1 answer

416 views

In what capacity is $S^{3}$ locally the same as $S^{2}\times S^{1}$?

asked Jun 1, 2021 at 5:18

6 votes

1 answer

475 views

How is $F(FM)$ related to 2-Jet bundle $F^{2} M$?

asked Oct 31, 2022 at 20:05

5 votes

0 answers

157 views

cobordism for every spin structure on a boundary?

asked Oct 21, 2021 at 4:52

4 votes

0 answers

125 views

Spinor bundle $\mathbb{S}(M)$ for connected sum $\mathbb{S}(M_1 \#M_2)$?

asked Apr 29, 2022 at 8:35

4 votes

0 answers

101 views

wouldn't a discretized space-time violate pontryagin duality?

asked May 22, 2016 at 18:36

4 votes

1 answer

91 views

If the derivative is written as shifts, can you relate it to the laplace/fourier tranform?

asked Apr 21, 2016 at 5:37

3 votes

1 answer

184 views

Is the group of translations on a spherical topology tied to the group of rotations of that sphere?

asked Sep 16, 2020 at 9:04

3 votes

1 answer

159 views

Number of inequivalent spin structures on $\#_{k} (S^2 \times S^1)$?

asked Jul 29, 2021 at 3:51

3 votes

1 answer

86 views

$SL(n,\mathbb{C})\rightarrow GL(2n,\mathbb{R})$ reduction of frame bundle

asked Dec 26, 2022 at 4:17

2 votes

1 answer

104 views

Are $\mathrm{Pin}(3, 1)$ and $\mathrm{GL}(2, \mathbb{C})$ isomorphic?

asked Dec 17, 2022 at 0:23

2 votes

1 answer

123 views

$\frac{SO(3)\times SO(2)}{SO(2)}$ = $\frac{SO(3)\times\mathbb{R}\times\mathbb{Z}_{2}}{SO(2)\times\mathbb{Z}_{2}}$?

asked Aug 8, 2021 at 4:04

2 votes

0 answers

42 views

Help following step in spin geometry paper.

asked Jul 4, 2022 at 18:55

2 votes

0 answers

37 views

Is there a "simple" factoring of Costa's minimal surface piercing a compact surface?

asked May 27, 2021 at 4:26

2 votes

0 answers

49 views

Relation between G-connection and second fundamental form when embedding is in principal G-bundle

asked Apr 11, 2022 at 20:49

2 votes

0 answers

149 views

Schrodinger-Lichnerowicz-Weitzenböck formula for $Spin_G $ structures?

asked Apr 29, 2022 at 4:34

2 votes

1 answer

105 views

When can a matrix $\Lambda\in SL(4,R)$ be represented by $SL(2,C)$?

asked Dec 20, 2018 at 22:37

2 votes

1 answer

430 views

For a metric space, is the measure determined by the metric?

asked Jan 3, 2018 at 1:53

2 votes

0 answers

179 views

$GL(n,G)$ General Linear group of a group $G$?

asked Dec 23, 2018 at 12:45

2 votes

1 answer

218 views

Question about the diffeomorphism group of a Lie group.

asked Dec 13, 2018 at 23:19

2 votes

0 answers

56 views

Finding a Clifford algebra basis for a parallelization of a manifold "living in" larger space ex: $\mathbb{S}^{1}\subset\mathbb{R}^{2}$

asked Jan 13, 2021 at 22:57

2 votes

1 answer

405 views

Functional extrema and the Euler-Lagrange equation

asked May 26, 2016 at 19:38

2 votes

0 answers

139 views

Transformation of metric tensor under clifford algebra?

asked Jun 23, 2018 at 6:18

2 votes

0 answers

143 views

does a vector field and its dual 1-form over an n-sphere form the heisenberg group?

asked Apr 14, 2016 at 7:05

2 votes

0 answers

121 views

When (if ever) does a connection on a Lie manifold G define that groups Lie algebra?

asked Nov 19, 2018 at 9:18

2 votes

0 answers

92 views

Way to generalize the expression for a Taylor/Maclaurin series to periodic functions?

asked Dec 19, 2016 at 9:18

1 vote

0 answers

98 views

Transformation of metric tensor in clifford algebra for nonorthogonal transformations

asked Jul 4, 2018 at 1:04

1 vote

1 answer

168 views

Is there a way to write the variation of a functional in terms of the shift operator

asked Aug 24, 2017 at 7:58

1 vote

1 answer

359 views

How does a Lie algebra transform under a diffeomorphism?

asked Nov 24, 2018 at 5:14

1 vote

1 answer

227 views

What does $∫ρ(x)dx=∫ρ(x)ϕ(x)dx$ imply about $ϕ(x)$?

asked May 17, 2016 at 23:15

1 vote

0 answers

122 views

How do the symmetries of a Lie manifold manifest in the metric tensor of that manifold?

asked Aug 28, 2018 at 2:20

Stack Exchange Network

80 Questions

In what capacity is $S^{3}$ locally the same as $S^{2}\times S^{1}$?

How is $F(FM)$ related to 2-Jet bundle $F^{2} M$?

cobordism for every spin structure on a boundary?

Spinor bundle $\mathbb{S}(M)$ for connected sum $\mathbb{S}(M_1 \#M_2)$?

wouldn't a discretized space-time violate pontryagin duality?

If the derivative is written as shifts, can you relate it to the laplace/fourier tranform?

Is the group of translations on a spherical topology tied to the group of rotations of that sphere?

Number of inequivalent spin structures on $\#_{k} (S^2 \times S^1)$?

$SL(n,\mathbb{C})\rightarrow GL(2n,\mathbb{R})$ reduction of frame bundle

Are $\mathrm{Pin}(3, 1)$ and $\mathrm{GL}(2, \mathbb{C})$ isomorphic?

$\frac{SO(3)\times SO(2)}{SO(2)}$ = $\frac{SO(3)\times\mathbb{R}\times\mathbb{Z}_{2}}{SO(2)\times\mathbb{Z}_{2}}$?

Help following step in spin geometry paper.

Is there a "simple" factoring of Costa's minimal surface piercing a compact surface?

Relation between G-connection and second fundamental form when embedding is in principal G-bundle

Schrodinger-Lichnerowicz-Weitzenböck formula for $Spin_G $ structures?

When can a matrix $\Lambda\in SL(4,R)$ be represented by $SL(2,C)$?

For a metric space, is the measure determined by the metric?

$GL(n,G)$ General Linear group of a group $G$?

Question about the diffeomorphism group of a Lie group.

Finding a Clifford algebra basis for a parallelization of a manifold "living in" larger space ex: $\mathbb{S}^{1}\subset\mathbb{R}^{2}$

Functional extrema and the Euler-Lagrange equation

Transformation of metric tensor under clifford algebra?

does a vector field and its dual 1-form over an n-sphere form the heisenberg group?

When (if ever) does a connection on a Lie manifold G define that groups Lie algebra?

Way to generalize the expression for a Taylor/Maclaurin series to periodic functions?

Transformation of metric tensor in clifford algebra for nonorthogonal transformations

Is there a way to write the variation of a functional in terms of the shift operator

How does a Lie algebra transform under a diffeomorphism?

What does $∫ρ(x)dx=∫ρ(x)ϕ(x)dx$ imply about $ϕ(x)$?

How do the symmetries of a Lie manifold manifest in the metric tensor of that manifold?