<abstract xmlns="http://www.w3.org/1999/xhtml">The (α, β)-metrics are the most studied Finsler metrics in Finsler geometry with Randers, Kropina and Matsumoto metrics being the most explored metrics in modern Finsler geometry. The ℒ-dual of Randers, Kropina and Matsumoto space have been introduced in [<xref ref-type="bibr" rid="j_ausm-2018-0014_ref_003_w2aab3b7c13b1b6b1ab1ab3Aa">3</xref>, <xref ref-type="bibr" rid="j_ausm-2018-0014_ref_004_w2aab3b7c13b1b6b1ab1ab4Aa">4</xref>, <xref ref-type="bibr" rid="j_ausm-2018-0014_ref_005_w2aab3b7c13b1b6b1ab1ab5Aa">5</xref>], also in recent the ℒ-dual of a Finsler space with special (α, β)-metric and generalized Matsumoto spaces have been introduced in [<xref ref-type="bibr" rid="j_ausm-2018-0014_ref_016_w2aab3b7c13b1b6b1ab1ac16Aa">16</xref>, <xref ref-type="bibr" rid="j_ausm-2018-0014_ref_017_w2aab3b7c13b1b6b1ab1ac17Aa">17</xref>]. In this paper, we find the ℒ-dual of a Finsler space with an exponential metric αeβ/α, where α is Riemannian metric and β is a non-zero one form.</abstract>

The (α, β)-metrics are the most studied Finsler metrics in Finsler geometry with Randers, Kropina and Matsumoto metrics being the most explored metrics in modern Finsler geometry. The ℒ-dual of Randers, Kropina and Matsumoto space have been introduced in [3, 4, 5], also in recent the ℒ-dual of a Finsler space with special (α, β)-metric and generalized Matsumoto spaces have been introduced in [16, 17]. In this paper, we find the ℒ-dual of a Finsler space with an exponential metric αeβ/α, where α is Riemannian metric and β is a non-zero one form.

On the ℒ-duality of a Finsler space with exponential metric αeβ/α

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the ℒ-duality of a Finsler space with exponential metric αe

The (α, β)-metrics are the most studied Finsler metrics in Finsler geometry with Randers, Kropina and Matsumoto metrics being the most explored metrics in...

On the ℒ-duality of a Finsler space with exponential metric αe^β/α

Published Online: Sep 10, 2018

Page range: 167 - 177

Received: Jun 09, 2016

DOI: https://doi.org/10.2478/ausm-2018-0014

Keywords
Finsler space, exponential metric, Cartan space, duality between Finsler and Cartan spaces

© 2018 Ramdayal Singh Kushwaha et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the ℒ-duality of a Finsler space with exponential metric αeβ/α

Published Online: Sep 10, 2018

Page range: 167 - 177

Received: Jun 09, 2016

DOI: https://doi.org/10.2478/ausm-2018-0014

KeywordsFinsler space, exponential metric, Cartan space, duality between Finsler and Cartan spaces

© 2018 Ramdayal Singh Kushwaha et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the ℒ-duality of a Finsler space with exponential metric αe^β/α

Keywords
Finsler space, exponential metric, Cartan space, duality between Finsler and Cartan spaces