from fastapi import APIRouter, HTTPException

people = [
    {"name": "Alice", "age": 55},
    {"name": "Bob", "age": 45},
    {"name": "Charlie", "age": 60},
    {"name": "David", "age": 35},
    {"name": "Eve", "age": 52}
]

router = APIRouter()

@router.get("/people")
async def get_people_over_50():
    """Fetch list of people over 50 years of age"""
    if request.method != "GET":
        raise HTTPException(status_code=405, detail="Method Not Allowed")

    over_50 = [p for p in people if p["age"] > 50]

    return {
        "method": "GET",
        "_verb": "get",
        "data": over_50
    }
```

This endpoint filters the `people` list to only include those whose age is over 50, and returns that filtered list in the response data. It also includes the required method metadata fields.