Sökning: "Legendre transform"
Hittade 3 avhandlingar innehållade orden Legendre transform.
1. Okounkov bodies and geodesic rays in Kähler geoemtry
Sammanfattning : This thesis presents three papers dealing with questions in Kähler geometry. In the first paper we construct a transform, called the Chebyshev transform, which maps continuous hermitian metrics on a big line bundle to convex functions on the associated Okounkov body. LÄS MER
2. Convexity, Currents, and Lelong numbers
Sammanfattning : This thesis treats different aspects of convexity, both real and complex. On the real side, we study convexity in relation with certain currents. On the complex side, we study the singularities of plurisubharmonic functions. LÄS MER
3. From Metric to Connection. Actions for Gravity, with Generalizations
Sammanfattning : The search for a theory of quantum gravity has for a long time been almost fruitless. A few years ago, however, Ashtekar found a reformulation of Hamiltonian gravity, which thereafter has given rise to a new promising quantization project; the canonical Dirac quantization of Einstein gravity in terms of Ashtekar's new variables. LÄS MER