PHP form keeps me on same page after I submit

if($_server["REQUEST_METHOD"] == "POST") {
$name = $_POST["name"];
$email = $_POST["email"];
$message = $_POST["message"];
$email_body = "";
$email_body = $email_body . "Name: " . $name . "\n";
$email_body = $email_body . "Email: " . $email . "\n";
$email_body = $email_body . "Message: " . $message;

    // TODO: Send Email

    header("Location: contact.php?status=thanks");
    exit;
}
?><?php
$pageTitle = "Contact Mike";
$section = "contact";
include('inc/header.php'); ?>

    <div class="section page">

        <div class="wrapper">

            <h1>Contact</h1>

            <?php if (isset($_GET["status"]) AND $_GET["status"] == "thanks") { ?>
                <p>Thanks for the email! I&rsquo;ll be in touch shortly.</p>    
            <?php } else {?>

                    <p>I&rsquo;d love to hear from you! Complete the form to send me an email.</p>

                    <form method="post" action="contact.php">

                        <table>
                            <tr>
                                <th>
                                    <label for="name">Name</label> 
                                </th>
                                <td>
                                    <input type="text" name="name" id="name">
                                </td>
                            </tr>
                            <tr>
                                <th>
                                    <label for="email">Email</label> 
                                </th>
                                <td>
                                    <input type="text" name="email" id="email">
                                </td>
                            </tr>
                              <tr>
                                <th>
                                    <label for="message">Message</label> 
                                </th>
                                <td>
                                    <textarea name="message" id="message"></textarea>
                                </td>
                            </tr>
                        </table>
                        <input type="submit" value="send">
                    </form>

                <?php } ?>
        </div>

    </div>

<?php include('inc/footer.php') ?>