Problema con formulario PHP

Tengo este problema: Los emails llegan en blanco,. Cual es el error?

PHP:

<?php
$field_name = $_POST['cf_name'];
$field_email = $_POST['cf_email'];
$field_message = $_POST['cf_message'];

$mail_to = 'info@dendex.com';
$subject = 'Mensaje desde cnmes web '.$field_name;

$body_message = 'From: '.$field_name."\n";
$body_message .= 'E-mail: '.$field_email."\n";
$body_message .= 'Message: '.$field_message;

$headers = 'From: '.$field_email."\r\n";
$headers .= 'Reply-To: '.$field_email."\r\n";

$mail_status = mail($mail_to, $subject, $body_message, $headers);

if ($mail_status) { ?>
<script language="javascript" type="text/javascript">
alert('Gracias por tu mensaje.');
window.location = 'index.html';
</script>
<?php
}
else { ?>
<script language="javascript" type="text/javascript">
alert('Error mensaje No enviado. Estamos en mantenimiento');
window.location = 'index.html';
</script>
<?php
}
?>

HTML:

<div class="col-md-7 contact-form wow animated fadeInLeft">

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

<div class="input-field">
<input name=”cf_name” type="text" name="name" class="form-control" placeholder="Nombre">
</div>
<div class="input-field">
<input name=”cf_email” type="email" name="email" class="form-control" placeholder="Email">
</div>

<div class="input-field">
<textarea name=”cf_message” name="message" class="form-control" placeholder="Mensaje"></textarea>
</div>
<button type="submit" id="submit" class="btn btn-blue btn-effect">Enviar</button>
</form>

</div>