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

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> CURSO BREVE DEL IFLP Y DEPARTAMENTO DE FÍSICA 
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>  MARTES 9 DE AGOSTO A LAS 11HS. AULA CHICA 
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> JUEVES 11 DE AGOSTO A LAS 15HS. AULA CHICA 
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> TÍTULO: AN INTRODUCTION TO AFFINE DIFFERENTIAL GEOMETRY 
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> EXPONE: PETER B. GILKEY. MATHEMATICS DEPARTMENT, UNIVERSITY OF OREGON, USA 
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> 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. 
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> DESTINADO A ESTUDIANTES GRADUADOS E INVESTIGADORES

 
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