User R. Rankin

7 votes

1 answer

478 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

507 views

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

asked Oct 31, 2022 at 20:05

5 votes

0 answers

179 views

cobordism for every spin structure on a boundary?

asked Oct 21, 2021 at 4:52

4 votes

0 answers

134 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

97 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

193 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

174 views

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

asked Jul 29, 2021 at 3:51

3 votes

1 answer

104 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

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

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

0 answers

38 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

43 views

Help following step in spin geometry paper.

asked Jul 4, 2022 at 18:55

2 votes

1 answer

108 views

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

asked Dec 17, 2022 at 0:23

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

178 views

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

asked Apr 29, 2022 at 4:34

2 votes

1 answer

250 views

Question about the diffeomorphism group of a Lie group.

asked Dec 13, 2018 at 23:19

2 votes

1 answer

112 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

0 answers

185 views

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

asked Dec 23, 2018 at 12:45

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

98 views

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

asked Dec 19, 2016 at 9:18

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

1 answer

416 views

Functional extrema and the Euler-Lagrange equation

asked May 26, 2016 at 19:38

2 votes

1 answer

467 views

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

asked Jan 3, 2018 at 1:53

2 votes

0 answers

149 views

Transformation of metric tensor under clifford algebra?

asked Jun 23, 2018 at 6:18

1 vote

0 answers

101 views

Transformation of metric tensor in clifford algebra for nonorthogonal transformations

asked Jul 4, 2018 at 1:04

1 vote

0 answers

127 views

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

asked Aug 28, 2018 at 2:20

1 vote

1 answer

182 views

Do all of the special unitary groups SU(n) contain copies of the trivial group SU(1)?

asked Aug 29, 2018 at 2:23

1 vote

1 answer

425 views

What does it mean for something to be $L^2(G)$ for compact G

asked Oct 7, 2018 at 0:04

1 vote

1 answer

169 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

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81 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

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

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

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

Help following step in spin geometry paper.

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

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

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

Question about the diffeomorphism group of a Lie group.

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

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

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?

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

Functional extrema and the Euler-Lagrange equation

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

Transformation of metric tensor under clifford algebra?

Transformation of metric tensor in clifford algebra for nonorthogonal transformations

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

Do all of the special unitary groups SU(n) contain copies of the trivial group SU(1)?

What does it mean for something to be $L^2(G)$ for compact G

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