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3 results for GDW-metrics

New metrics defined in Finsler geometry with specific properties.

problem Understanding the properties of Finsler metrics and their subclasses.
method Introducing the generalized Berwald projective Weyl metric and proving properties of the class of generalized Douglas metrics.
result All GDWGDW metrics with vanishing Landsberg curvature are of R-quadratic type.

This paper explores new Finsler metrics and their connections to generalized Sakaguchi's Theorem.

problem Understanding the properties of Finsler metrics and their projective invariants.
method Developed and examined weakly-Weyl and generalized weakly-Weyl Finsler metrics.
result Equivalence of weakly-Weyl and WW-quadratic spherically symmetric Finsler metrics.