Rolling of projective planes with G2-symmetry Gil Bor, CIMAT - - PowerPoint PPT Presentation

▶
rolling of projective planes with g2 symmetry
SMART_READER_LITE
LIVE PREVIEW

Rolling of projective planes with G2-symmetry Gil Bor, CIMAT - - PowerPoint PPT Presentation

Dec 31, 2023 748 likes •900 views

Rolling of projective planes with G2-symmetry Gil Bor, CIMAT Guanajuato, Mexico Collaborators: -Luis Hernndez Lamoneda (CIMAT) -Pawel Nurowski (Polish Academy of Sciences) Reference: http://arxiv.org/abs/1506.00104 The dancing metric,

slide-1
SLIDE 1

Rolling of projective planes with G2-symmetry

Gil Bor, CIMAT Guanajuato, Mexico Collaborators:

  • Luis Hernández Lamoneda (CIMAT)
  • Pawel Nurowski (Polish Academy of Sciences)

Reference: http://arxiv.org/abs/1506.00104

“The dancing metric, G2-symmetry and projective rolling”

slide-2
SLIDE 2

Rolling of projective planes with G2-symmetry

Gil Bor, Guanajuato, Mexico Collaborators:

  • Luis Hernández Lamoneda (CIMAT)
  • Pawel Nurowski (Polish Academy of Sciences)

Reference:

“The dancing metric, G2-symmetry and projective rolling

slide-3
SLIDE 3

Rolling of projective planes with G2-symmetry

Gil Bor, CIMAT

Guanajuato, Mexico

Collaborators:

  • Luis Hernandez Lamoneda (CIMAT)
  • Pawel Nurowski (Polish Academy of Sciences)

Reference: http://arxiv.org/abs/1506.00104

“The dancing metric, G2-symmetry and projective rolling”

slide-4
SLIDE 4

Guanajuato

slide-5
SLIDE 5

Ordinary rolling

slide-6
SLIDE 6

An-Nurwoski rolling surfaces

slide-7
SLIDE 7

Projective Duality

slide-8
SLIDE 8

Projective rolling without slipping

(the “dancing condition”)

slide-9
SLIDE 9

Cartan’s development

slide-10
SLIDE 10

The osculating conics of a logarithmic spiral

slide-11
SLIDE 11

The no-twist condition of projective rolling

slide-12
SLIDE 12

A dancing pair of logarithmic spirals

slide-13
SLIDE 13

Dancing mates of the circle