Unable to delete 'index.php' in wordpress's permalink on GAE

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Solution:

I assume you installed wordpress using this tutorial.
Please read through the following for your understanding :

• Google App Engine - PHP - app.yaml reference
• Google App Engine - PHP - Simulate Apache mod_rewrite routing

Steps for you to follow :

Step 1 :

• Run the following command to open your Apache2.conf file:
  

sudo nano /etc/apache2/apache2.conf

• Use the down-arrow key to scroll toward the bottom of the file, and locate this block of code:

<Directory /var/www/>
Options Indexes FollowSymLinks
AllowOverride None
Require all granted

On the line that says:

AllowOverride None

Change it to:

AllowOverride All

• Save and exit the file (CTRL + X, then Y, then ENTER), then restart your Apache server using :

sudo service apache2 restart

Step 2:

• Change permalink settings in wp-admin to pretty permalinks
• Install mod_rewrite module in apache using :

sudo a2enmod rewrite

• Restart apache using

sudo service apache2 restart

For more details check this link