Transportation in the Philippines it has the largest number of international flights to the Philippines as well as domestic flights. The Philippine Airlines links Manila to 48 cities in 4 continents, and flies regularly to 41 domestic destinations outside Manila. Philippine Airlines also serves twenty destinations in the Philippines and 32 destinations which are all located in Southeast Asia, South Asia, East Asia, Oceania and North America. Cebu Pacific is the low fare leader in the country, and is the country's leading domestic airline. It links Manila to 21 different domestic destinations in Philippines and to 39 international destinations with its direct flights. After
Lie group Lie groups are called "isomorphic" if there exists a bijective homomorphism between them whose inverse is also a Lie group homomorphism. Equivalently, it is a diffeomorphism which is also a group homomorphism. Isomorphic Lie groups necessarily have isomorphic Lie algebras; it is then reasonable to ask how isomorphism classes of Lie groups relate to isomorphism classes of Lie algebras. The first result in this direction is Lie's third theorem, which states that every finite-dimensional, real Lie algebra is the Lie algebra of some (linear) Lie group. One way to prove Lie's third theorem is to use Ado's theorem, which says