GEOMETRIA DE ANCELMO L. GRACELI - TRANSCENDENTE E INFINITESIMAL E AEATÓRIA

INTEGRAIS COMPLEXAS DE ANCELMO LUIZ GRACELI.

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] - Z SIN π [ $\psi (z)$ ] d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π - Z SIN π d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ,- Z SIN π [ $\psi (z)$ ] θ, d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, - Z SIN π θ, d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] $g_{t}$ - Z SIN π [ $\psi (z)$ ] $g_{t}$ d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π $\Psi$ $g_{t}$ - Z SIN π $\Psi$ $g_{t}$ d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ, $g_{t}$ - Z SIN π [ $\psi (z)$ ] θ $g_{t}$ , d $\psi (z)$

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, $g_{t}$ - Z SIN π θ, $g_{t}$ d $\psi (z)$ =

variedade complexa. $X$

Fluxo de Ricci normalizado

Suponha que $M$ seja uma variedade suave compacta, e seja $g_{t}$ um fluxo de Ricci para $t$ no intervalo $(a,b)$ .

INTEGRAIS DE ANCELMO LUIZ GRACELI.

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] - Z SIN π [ $\psi (z)$ ] d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π - Z SIN π d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ,- Z SIN π [ $\psi (z)$ ] θ, d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, - Z SIN π θ, d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] $g_{t}$ - Z SIN π [ $\psi (z)$ ] $g_{t}$ d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π $\Psi$ $g_{t}$ - Z SIN π $\Psi$ $g_{t}$ d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ, $g_{t}$ - Z SIN π [ $\psi (z)$ ] θ $g_{t}$ , d $\psi (z)$

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, $g_{t}$ - Z SIN π θ, $g_{t}$ d $\psi (z)$ =

variedade complexa. $X$

Fluxo de Ricci normalizado

Suponha que $M$ seja uma variedade suave compacta, e seja $g_{t}$ um fluxo de Ricci para $t$ no intervalo $(a,b)$ .

INTEGRAIS DE ANCELMO LUIZ GRACELI.

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] - Z SIN π [ $\psi (z)$ ] d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π - Z SIN π d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ,- Z SIN π [ $\psi (z)$ ] θ, d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, - Z SIN π θ, d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] $g_{t}$ - Z SIN π [ $\psi (z)$ ] $g_{t}$ d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π $\Psi$ $g_{t}$ - Z SIN π $\Psi$ $g_{t}$ d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ, $g_{t}$ - Z SIN π [ $\psi (z)$ ] θ $g_{t}$ , d θ $\psi (z)$

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, $g_{t}$ - Z SIN π θ, $g_{t}$ d θ $\psi (z)$ =

variedade complexa. $X$

Fluxo de Ricci normalizado

Suponha que $M$ seja uma variedade suave compacta, e seja $g_{t}$ um fluxo de Ricci para $t$ no intervalo $(a,b)$ .

INTEGRAIS COMPLEXAS DE ANCELMO LUIZ GRACELI.

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ][/] - Z SIN π [ $\psi (z)$ ] d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [/] - Z SIN/ π d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ [/],- Z SIN π [ $\psi (z)$ ] θ, d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ,[/] - Z SIN π θ, d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] $g_{t}$ [/] - Z SIN π [ $\psi (z)$ ] $g_{t}$ d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π $\Psi$ $g_{t}$ [/]- Z SIN π $\Psi$ $g_{t}$ d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ, $g_{t}$ [/]- Z SIN π [ $\psi (z)$ ] θ $g_{t}$ , d $\psi (z)$

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, $g_{t}$ [/] - Z SIN π θ, $g_{t}$ d $\psi (z)$ =

variedade complexa. $X$

Fluxo de Ricci normalizado

Suponha que $M$ seja uma variedade suave compacta, e seja $g_{t}$ um fluxo de Ricci para $t$ no intervalo $(a,b)$ .

INTEGRAIS DE ANCELMO LUIZ GRACELI.

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] [/] - Z SIN π [ $\psi (z)$ ] d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [/] - Z SIN π d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ,[/] - Z SIN π [ $\psi (z)$ ] θ, d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ [/], - Z SIN π θ, d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] $g_{t}$ [/] - Z SIN π [ $\psi (z)$ ] $g_{t}$ d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π $\Psi$ $g_{t}$ - Z SIN π $\Psi$ $g_{t}$ d $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ, $g_{t}$ [/]- Z SIN π [ $\psi (z)$ ] θ $g_{t}$ , d $\psi (z)$

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, $g_{t}$ [/]- Z SIN π θ, $g_{t}$ d $\psi (z)$ =

variedade complexa. $X$

Fluxo de Ricci normalizado

Suponha que $M$ seja uma variedade suave compacta, e seja $g_{t}$ um fluxo de Ricci para $t$ no intervalo $(a,b)$ .

INTEGRAIS DE ANCELMO LUIZ GRACELI.

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] [/]- Z SIN π [ $\psi (z)$ ] d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [/] - Z SIN π d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ,[/]- Z SIN π [ $\psi (z)$ ] θ, d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ [/], - Z SIN π θ, d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] $g_{t}$ [/] - Z SIN π [ $\psi (z)$ ] $g_{t}$ d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π $\Psi$ $g_{t}$ [/] - Z SIN π $\Psi$ $g_{t}$ d θ $\psi (z)$ =

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π [ $\psi (z)$ ] θ, $g_{t}$ - [/] Z SIN π [ $\psi (z)$ ] θ $g_{t}$ , d θ $\psi (z)$

$f'(z)$ = 1/ π $X$ $f'(z)$ Z COS π θ, $g_{t}$ [/] - Z SIN π θ, $g_{t}$ d θ $\psi (z)$ =

variedade complexa. $X$

Fluxo de Ricci normalizado

Suponha que $M$ seja uma variedade suave compacta, e seja $g_{t}$ um fluxo de Ricci para $t$ no intervalo $(a,b)$ .

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