DEGENERATE CURVES IN PSEUDO-EUCLIDEAN SPACES OF INDEX TWO ANGEL FERRÁNDEZ, ANGEL GIMÉNEZ and PASCUAL LUCAS

نویسندگان

  • Ivaïlo M. Mladenov
  • Gregory L. Naber
چکیده

We study degenerate curves in pseudo-Euclidean spaces of index two by introducing the Cartan reference along a degenerate curve. We obtain several different types of degenerate curves and present existence, uniqueness and congruence theorems. We also give some examples of such a curves in low dimensions.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Relativistic particles with rigidity along light-like curves

We study actions in (2 + 1)-dimensions associated with null curves whose Lagrangians are arbitrary functions f on the curvature of the particle path, showing that null helices are always possible trajectories of the particles for every function f . The vector field P , obtained from the Euler-Lagrange equation, can be interpreted as the linear momentum of the particle since it is constant along...

متن کامل

Geometrical particle models on 3D null curves

The simplest (2+1)-dimensional mechanical systems associated with light-like curves, already studied by Nersessian and Ramos, are reconsidered. The action is linear in the curvature of the particle path and the moduli spaces of solutions are completely exhibited in 3-dimensional Minkowski background, even when the action is not proportional to the pseudo-arc length of the trajectory. PACS numbe...

متن کامل

Effects of Feeding Frequency on Growth Performance and Survival Rate of Angel Fish, Pterophyllum scalare (Perciformes: Cichlidae)

The freshwater angel fish (Pterophyllum scalare Schultze, 1823) is South American cichlid become very popular among aquarists. There is little information on their culture and aquarium husbandry. In this study growth performance and survival rate of angelfish subjected to different feeding frequencies were evaluated. Four groups of angel fish juveniles (0.87 ± 0.01 g; 3.98 ± 0.08 mm) were fed e...

متن کامل

Relativistic particles with rigidity and torsion in D = 3 spacetimes

Models describing relativistic particles, where Lagrangian densities depend linearly on both the curvature and the torsion of the trajectories, are revisited in D = 3 Lorentzian spacetimes with constant curvature. The moduli spaces of trajectories are completely and explicitly determined. Trajectories are Lancret curves including ordinary helices. To get the geometric integration of the solutio...

متن کامل

Effect of rearing temperature on the body shape of Angel fish (Pterophyllum scalare Lichtenstein, 1823) during early development using geometric morphometric method

Temperature as an environmental factor, play important role in fish life. Angel fish (Pterophyllum scalare) is one of the most popular fish species that its production has developed in the ornemental fish industery and there is little information about the effect of rearing temprature in the aquarium. Hence, this study was carried out to investigate the effect of temperature on its body shape...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004