Schedule Task with Jax-RS and CDI

I'm try to understand how to manage scheduled tasks in my project with Jax-RS and CDI.
With Spring I was easily able to achive that with ThreadPoolTaskScheduler or @Scheduled annotation and I'm trying to replicate both ways without success.

First of all, I'm using Wildfly 14 and this seems to cause some issues because I've tryied to inject with @Resource both ManagedScheduledExecutorService and TimerService but Wildfly throws exception of missing dependencies (but the Admin guide didn't help me about that).

Instead of inject resources I've tryied to use a singleton object like this:

@Singleton
public class CacheManager {
	private final static Logger log = LogManager.getLogger();

	public CacheManager() {
		 log.error("######## Init" + LocalTime.now());
	}
	
   	 @Schedule(hour = "*", minute = "*", second = "*/1")
	 private void timeout() {
		 log.error("######## " + LocalTime.now());
	 }
	
}

But the method is never called.

So I'm not understanding what I'm missing. Maybe I have wrongly configured the project so this is my pom.xml dependencies:

	<dependency>
		<groupId>com.google.code.gson</groupId>
		<artifactId>gson</artifactId>
		<version>2.8.2</version>
	</dependency>

	<dependency>
		<groupId>com.fasterxml.jackson.core</groupId>
		<artifactId>jackson-databind</artifactId>
		<version>2.10.2</version>
	</dependency>

	<!-- Import the JAX-RS API, we use provided scope as the API is included in JBoss WildFly -->
	<dependency>
		<groupId>org.jboss.resteasy</groupId>
		<artifactId>resteasy-jaxrs</artifactId>
		<version>3.10.0.Final</version>
		<scope>provided</scope>
	</dependency>
	<dependency>
		<groupId>org.jboss.resteasy</groupId>
		<artifactId>jaxrs-api</artifactId>
		<version>3.0.12.Final</version>
		<scope>provided</scope>
	</dependency>
	<dependency>
		<groupId>org.jboss.resteasy</groupId>
		<artifactId>resteasy-multipart-provider</artifactId>
		<version>3.0.12.Final</version>
		<scope>provided</scope>
	</dependency>

	<!-- Import the CDI API, we use provided scope as the API is included in JBoss WildFly -->
	<dependency>
		<groupId>javax.enterprise</groupId>
		<artifactId>cdi-api</artifactId>
		<version>2.0</version>
		<scope>provided</scope>
	</dependency>

	<!-- Import the JSF API, we use provided scope as the API is included in JBoss WildFly -->
	<dependency>
		<groupId>org.jboss.spec.javax.faces</groupId>
		<artifactId>jboss-jsf-api_2.2_spec</artifactId>
		<version>2.2.14</version>
		<scope>provided</scope>
	</dependency>

	<dependency>
		<groupId>org.apache.logging.log4j</groupId>
		<artifactId>log4j-api</artifactId>
		<version>2.11.2</version>
	</dependency>
	<dependency>
		<groupId>org.apache.logging.log4j</groupId>
		<artifactId>log4j-core</artifactId>
		<version>2.11.2</version>
	</dependency>

	<dependency>
		<groupId>javax.ejb</groupId>
		<artifactId>ejb-api</artifactId>
		<version>3.0</version>
		<scope>provided</scope>
	</dependency>
</dependencies>

This is my beans.xml

<beans xmlns="http://xmlns.jcp.org/xml/ns/javaee" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation=" http://xmlns.jcp.org/xml/ns/javaee http://xmlns.jcp.org/xml/ns/javaee/beans_1_1.xsd" bean-discovery-mode="annotated">
</beans>

I am using Java 8.

EDIT: the CacheManager is instantiated in the JAX-WS Application

@ApplicationScoped
@ApplicationPath("/rest")
public class JaxRsActivator extends Application {
	
	private static final Logger logger = LogManager.getLogger();

    private Set<Object> singletons = new HashSet<Object>();
    private HashSet<Class<?>> classes = new HashSet<Class<?>>();

    public JaxRsActivator() {
    	singletons.add(new CorsFilter());
        singletons.add(new CacheManager());      
    }	

    @Override
    public Set<Object> getSingletons() {
        return singletons;
    }

    @Override
    public HashSet<Class<?>> getClasses(){
      return classes;
    }
}

I've found the solutions: @Singleton must be javax.ejb.Singleton and not javax.inject.Singleton.