User Zhiqiang

10 votes

2 answers

1k views

Does the Hodge star operator determine the metric?

asked Jan 30 at 2:56

8 votes

3 answers

549 views

Contractible set in a manifold

asked Jul 13, 2021 at 14:56

7 votes

1 answer

206 views

Existence of the tubular neighborhood of uniform size

asked Jul 4, 2022 at 6:16

7 votes

1 answer

607 views

Kähler metric with two compatible complex structures

asked Dec 19, 2022 at 12:12

6 votes

2 answers

684 views

Removing a submanifold from a closed manifold

asked Nov 9, 2023 at 11:07

5 votes

1 answer

371 views

Lower bound on the first eigenvalue of the Lichnerowicz Laplacian on positive Einstein manifolds

asked Oct 19, 2021 at 0:53

4 votes

1 answer

306 views

First eigenvalue of the Laplacian on the traceless-transverse 2-forms

asked Nov 3, 2021 at 3:22

4 votes

1 answer

396 views

3-manifold with boundary containing a projective plane

asked Aug 27, 2021 at 12:12

4 votes

1 answer

134 views

Rigidity of the compact irreducible symmetric space

asked Dec 30, 2021 at 1:46

4 votes

1 answer

271 views

Spin$^c$ structures induced by an almost complex structure

asked Feb 22 at 9:55

3 votes

1 answer

191 views

Principal circle bundles over punctured $3$-sphere

asked Mar 13 at 12:21

3 votes

1 answer

216 views

One-sided incompressible surface in 3-manifolds

asked Aug 24, 2021 at 0:27

3 votes

0 answers

61 views

Are two homotopic principal bundles isomorphic?

asked Dec 4, 2023 at 6:31

3 votes

2 answers

216 views

$P^2$-irreducibility of a $3$-manifold

asked Sep 3, 2021 at 10:56

3 votes

1 answer

115 views

$\pi_1(M^3)$ containing a normal infinite cyclic subgroup

asked Sep 3, 2021 at 11:08

3 votes

0 answers

60 views

Embedding with vanishing images of homotopy groups

asked Jul 13, 2021 at 7:52

3 votes

0 answers

68 views

Ricci deformation of hyperkahler ALE orbifold

asked Nov 24, 2021 at 11:07

3 votes

1 answer

235 views

Spectra of the Laplacian operator on the spherical space-form

asked Oct 31, 2021 at 3:59

3 votes

2 answers

191 views

Embedded submanifold in a cylinder

asked Jun 11, 2021 at 1:29

3 votes

1 answer

155 views

Surface separating the boundary of a cylinder

asked Jun 11, 2021 at 7:52

2 votes

0 answers

118 views

Kahler surface with certain topology

asked Jul 16, 2021 at 9:19

2 votes

0 answers

136 views

Restriction function as a Morse function

asked Jul 25, 2021 at 3:51

2 votes

1 answer

634 views

Classification of disk bundle over surfaces

asked Jul 12, 2021 at 10:18

1 vote

0 answers

160 views

Contractible four-manifold which admits a decomposition

asked Aug 2, 2021 at 7:42

1 vote

0 answers

46 views

Essential singular set of an Alexandrov space

asked Jun 23, 2021 at 11:57

1 vote

0 answers

51 views

Essential singularities in an Alexandrov space

asked Jun 23, 2021 at 13:02

1 vote

1 answer

56 views

Compatibility of two cylindrical regions

asked Jun 11, 2021 at 6:48

1 vote

0 answers

64 views

Perturbation of the self-dual harmonic $2$-forms

asked Jan 29 at 12:10

1 vote

0 answers

34 views

Hermitian locally symmetric space with nonnegative bisectional curvature

asked Jun 30, 2023 at 12:19

1 vote

0 answers

107 views

Extend a circle action on $3$-manifolds

asked Mar 17 at 4:26

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31 Questions

Does the Hodge star operator determine the metric?

Contractible set in a manifold

Existence of the tubular neighborhood of uniform size

Kähler metric with two compatible complex structures

Removing a submanifold from a closed manifold

Lower bound on the first eigenvalue of the Lichnerowicz Laplacian on positive Einstein manifolds

First eigenvalue of the Laplacian on the traceless-transverse 2-forms

3-manifold with boundary containing a projective plane

Rigidity of the compact irreducible symmetric space

Spin$^c$ structures induced by an almost complex structure

Principal circle bundles over punctured $3$-sphere

One-sided incompressible surface in 3-manifolds

Are two homotopic principal bundles isomorphic?

$P^2$-irreducibility of a $3$-manifold

$\pi_1(M^3)$ containing a normal infinite cyclic subgroup

Embedding with vanishing images of homotopy groups

Ricci deformation of hyperkahler ALE orbifold

Spectra of the Laplacian operator on the spherical space-form

Embedded submanifold in a cylinder

Surface separating the boundary of a cylinder

Kahler surface with certain topology

Restriction function as a Morse function

Classification of disk bundle over surfaces

Contractible four-manifold which admits a decomposition

Essential singular set of an Alexandrov space

Essential singularities in an Alexandrov space

Compatibility of two cylindrical regions

Perturbation of the self-dual harmonic $2$-forms

Hermitian locally symmetric space with nonnegative bisectional curvature

Extend a circle action on $3$-manifolds