Connections on Naturally Reductive
نویسنده
چکیده
منابع مشابه
Connections on Naturally Reductive Spaces, Their Dirac Operator and Homogeneous Models in String Theory
Given a reductive homogeneous space M = G/H endowed with a naturally reductive metric, we study the one-parameter family of connections ∇t joining the canonical and the LeviCivita connection (t = 0, 1/2). We show that the Dirac operator Dt corresponding to t = 1/3 is the so-called “cubic” Dirac operator recently introduced by B. Kostant, and derive the formula for its square for any t, thus gen...
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