A similarity transformation, which brings a particular class of the N = 1 string to the N = 0 one, is explicitly constructed. It enables us to give a simple proof for the argument recently proposed by Berkovits and Vafa. The N = 1 BRST operator is turned into the direct sum of the corresponding N = 0 BRST operator and that for an additional topological sector. As a result, the physical spectrum of these N = 1 vacua is shown to be isomorphic to the tensor product of the N = 0 spectrum and the topological sector which consists of only the vacuum. This transformation manifestly keeps the operator algebra.

Finslerian structure of spacetime is investigated. For a special type of generalized Finsler metric the explicit expression of Cartan-like metrical connection is derived and it is shown that it resembles the usual one. Causal problems in Finsler-type spacetime are discussed and, based on the arguments, the Einstein-type equations for the Finslerian quantities are derived by using the lifting of a Finsler metric to a tangent bundle. It is shown that a solution of the proposed equations can also be obtained from the complex structure of the tangent bundle. One-form typemetrics are used to discuss the geometrical interpretation of isosymmetry. A simple way of obtaining a metrical connection for a general generalized Finsler metric is given.

Elastic electromagnetic form factors of nucleons are investigated for both the time-like and the space-like momenta by using the unsubtracted dispersion relation with QCD constraints. It is shown that the calculated form factors reproduce the experimental data reasonably well; they agree with recent experimental data for the neutron magnetic form factors for the space-like data obtained by the CLAS Collaboration and are compatible with the ratio of the electric and magnetic form factors for the time-like momentum obtained by the BABAR Collaboration.

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