We use the equivariant localization formula to prove that Donaldson–Futaki invariant of a compact smooth (Kähler) test configuration coincides with Futaki induced action on central fiber when this is or have orbifold singularities. also localize deformation normal cone.

Abstract We study the problem of evolution bulk 5-fluids having an embedded braneworld with a flat, de Sitter, or anti-de Sitter geometry. introduce new variables to express Einstein equations as dynamical system that depends on equation state parameter $$\gamma $$ γ and exponent $$\lambda λ ...

Becker's nevus is a unilateral hyperpigmented area of skin with geographical borders. It is usually located on shoulders, anterior chest, scapular region and upper arms. Sometimes it shows evidence of androgen hypersensitivity and co-localizing with other developmental anomalies. We report a 12-year-old girl with clinical and histopathological findings compatible with Becker's nevus on he...

We propose a scheme for localizing an atom in a four-level configuration inside a classical standing wave field, conditioned upon the measurement of frequency of a weak probe field. In the classical standing wave field, the interaction between the atom and the field is position dependent due to the Rabi-frequency of the driving field. Hence, as the absorption frequency of the probe field is mea...

With an increasing emphasis on security, automated personal identification based on biometrics has been receiving extensive attention. Iris recognition, as an emerging biometric recognition approach, is becoming a very active topic in both research and practical applications. In general, a typical iris recognition system includes iris imaging, iris liveness detection, and recognition. This rese...