[Todos] RECORDATORIO: CURSO BREVE. 9 Y 11 DE AGOSTO. IFLP/DEPARTAMENTO DE FÍSICA

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CURSO BREVE DEL IFLP Y DEPARTAMENTO DE FÍSICA 

 MARTES 9 DE AGOSTO A LAS 11HS. AULA CHICA 

JUEVES 11 DE AGOSTO A LAS 15HS. AULA CHICA 

TÍTULO: AN INTRODUCTION TO AFFINE DIFFERENTIAL GEOMETRY 

  

EXPONE: PETER B. GILKEY. MATHEMATICS DEPARTMENT, UNIVERSITY OF OREGON,
USA 

  

RESUMEN: LET M BE A SMOOTH M-DIMENSIONAL MANIFOLD AND LET ∇ BE A
CONNECTION ON THE TANGENT BUNDLE OF M. WE SAY THAT THE PAIR (M, ∇) IS
AN _AFFINE MANIFOLD_IF ∇ IS TORSION FREE, I.E., IF ∇_XY-∇_YX=[X,Y] FOR
ANY PAIR OF VECTOR FIELDS X AND Y. IF  (M,G) IS A RIEMANNIAN MANIFOLD,
LET ∇G BE THE LEVI-CIVITA CONNECTION. THEN, (M, ∇G) IS AN AFFINE
MANIFOLD. THUS, THE NOTION OF AN AFFINE STRUCTURE IS A GENERALIZATION OF
THE NOTION OF A RIEMANNIAN STRUCTURE. IN THESE LECTURES THE NOTIONS OF
AN AFFINE KILLING VECTOR FIELD AND  AN AFFINE GRADIENT RICCI SOLITON
WILL BE DEFINED. THESE WILL BE EXAMINED IN THE CONTEXT OF HOMOGENEOUS
AFFINE SURFACES AND THE MODULI SPACE OF HOMOGENEOUS AFFINE SURFACES WILL
BE DISCUSSED. 

  

DESTINADO A ESTUDIANTES GRADUADOS E INVESTIGADORES 
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