Renato G Bettiol

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Name	Renato G Bettiol
Member for	1 year
Seen	May 14 at 20:26
Website	nd.edu/~rbettiol
Location	Notre Dame, USA
Age	24

I am a graduate student at the University of Notre Dame, USA, under the supervision of Karsten Grove. My main interests are global analysis and Riemannian/semi-Riemannian geometry. Here you can find a list of my recent preprints. For more, see my personal website.

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751

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Conjugate points in Lie groups with left-invariant metrics

riemannian-geometry lie-groups morse-theory

dec 5 11 at 8:10 gggg gggg 23●4

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3

answers

497

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Cartan-Hadamard’s Theorem, Completeness

dg.differential-geometry

mar 21 12 at 19:46 ε-δ 1,028●5●16

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185

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Isoperimetric inequality on a Riemannian sphere

dg.differential-geometry isoperimetry systolic-geometry

may 6 at 15:13 Alexandre Eremenko 10.6k●1●24●39

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1

answer

360

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Possible isometries of a positively curved $S^2\times S^2$

riemannian-geometry dg.differential-geometry isometries

may 1 at 16:27 Luis Guijarro 41●3

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11

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4

answers

941

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High multiplicity eigenvalue implies symmetry?

dg.differential-geometry laplacian sp.spectral-theory

mar 17 12 at 23:04 Alex Eskin 2,412●9●20

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8

votes

1

answer

306

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When the adjoint of a hypoelliptic operator hypoelliptic

ap.analysis-of-pdes fa.functional-analysis unbounded-operators

mar 5 12 at 14:49 Bazin 2,948●2●8

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8

votes

1

answer

428

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Metrically singular Alexandrov space.

mg.metric-geometry dg.differential-geometry alexandrov-geometry

jun 7 11 at 11:40 Anton Petrunin 16.4k●41●110

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7

votes

2

answers

508

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What is a good reference that compact resolvent implies Fredholm operator?

fa.functional-analysis sp.spectral-theory unbounded-operators reference-request

apr 13 12 at 9:08 Liviu Nicolaescu 11.3k●1●20●33

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7

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302

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Are there exotic $S^2\times S^2$?

at.algebraic-topology dg.differential-geometry

oct 29 at 12:07 J. GE 1,147●3●7

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Positively curved manifold with almost extreme diameter

riemannian-geometry mg.metric-geometry dg.differential-geometry

apr 26 at 20:28 J. GE 1,147●3●7

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6

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0

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241

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Spaces of matrices with same eigenvalue/Great circles in O(n)-orbits

lie-groups linear-algebra matrices rt.representation-theory

mar 16 12 at 15:52 Marco Radeschi 762●5●9

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108

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Extending orbit equivalences

dg.differential-geometry

nov 26 10 at 9:57 unknown 61●1

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108

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Strake’s splitting theorem for complex sectional curvature

dg.differential-geometry curvature

sep 13 at 10:11 malik 63●3

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242

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Collapsing of Riemannian manifolds with a group action

riemannian-geometry mg.metric-geometry transformation-groups

sep 20 at 17:20 Anton Petrunin 16.4k●41●110

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1

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120

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Parallel forms and cohomology of symmetric spaces

reference-request dg.differential-geometry lie-groups symmetric-spaces

apr 8 at 23:38 Faisal 6,091●18●38