Fastcgi and $document_uri

Server NGINX
1

Hi all,

I’m trying to setup nginx as bellow:
location ~ ^/git(.*)$ {
include /etc/nginx/fastcgi.conf;
fastcgi_param PATH_INFO $1;
fastcgi_pass 127.0.0.1:8010;

  }

For information, /etc/nginx/fastcgi.conf:
fastcgi_param SCRIPT_FILENAME
$document_root$fastcgi_script_name;
fastcgi_param QUERY_STRING
$query_string;
fastcgi_param REQUEST_METHOD
$request_method;
fastcgi_param CONTENT_TYPE
$content_type;
fastcgi_param CONTENT_LENGTH
$content_length;

fastcgi_param SCRIPT_NAME
$fastcgi_script_name;
fastcgi_param REQUEST_URI
$request_uri;
fastcgi_param DOCUMENT_URI
$document_uri;
fastcgi_param DOCUMENT_ROOT
$document_root;
fastcgi_param SERVER_PROTOCOL
$server_protocol;

fastcgi_param GATEWAY_INTERFACE
CGI/1.1;
fastcgi_param SERVER_SOFTWARE
nginx/$nginx_version;

fastcgi_param REMOTE_ADDR
$remote_addr;
fastcgi_param REMOTE_PORT
$remote_port;
fastcgi_param SERVER_ADDR
$server_addr;
fastcgi_param SERVER_PORT $server_port;
fastcgi_param SERVER_NAME $server_name;

It works well, for example, for /git/repo1.git, the PATH_INFO if
/repo1.git.
I think using regex is slow, I tryied this :
location /git {
include /etc/nginx/fastcgi.conf;
fastcgi_param PATH_INFO $document_uri;
fastcgi_pass 127.0.0.1:8010;
}

But /git/repo1.git gives me /git/repo1.git instead of I expected
/repo1.git.
Why? is their a mean to do not use regex or do it faster?

For your help,
In advance,
Thanks.