Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Cubic transformations of Finsler spaces and n fundamental forms of their hypersurfaces - MaRDI portal

Deprecated: Use of MediaWiki\Skin\SkinTemplate::injectLegacyMenusIntoPersonalTools was deprecated in Please make sure Skin option menus contains `user-menu` (and possibly `notifications`, `user-interface-preferences`, `user-page`) 1.46. [Called from MediaWiki\Skin\SkinTemplate::getPortletsTemplateData in /var/www/html/w/includes/Skin/SkinTemplate.php at line 691] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of MediaWiki\Skin\BaseTemplate::getPersonalTools was deprecated in 1.46 Call $this->getSkin()->getPersonalToolsForMakeListItem instead (T422975). [Called from Skins\Chameleon\Components\NavbarHorizontal\PersonalTools::getHtml in /var/www/html/w/skins/chameleon/src/Components/NavbarHorizontal/PersonalTools.php at line 66] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of QuickTemplate::(get/html/text/haveData) with parameter `personal_urls` was deprecated in MediaWiki Use content_navigation instead. [Called from MediaWiki\Skin\QuickTemplate::get in /var/www/html/w/includes/Skin/QuickTemplate.php at line 131] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Cubic transformations of Finsler spaces and n fundamental forms of their hypersurfaces (Q1114170)

From MaRDI portal





scientific article; zbMATH DE number 4084486
Language Label Description Also known as
English
Cubic transformations of Finsler spaces and n fundamental forms of their hypersurfaces
scientific article; zbMATH DE number 4084486

    Statements

    Cubic transformations of Finsler spaces and n fundamental forms of their hypersurfaces (English)
    0 references
    0 references
    1989
    0 references
    The change of Finsler metric \(L\to L^*:(L^*)^ 3=L^ 3+\beta^ 3\), called a cubic transformation, is studied, where \(\beta =b_ i(x)\dot x^ i\) is a differential one-form. The changes of the (h)hv-torsion tensor \(C^ i_{jk}\) and the v-curvature tensor \(S^ i_{hjk}\) are derived.
    0 references
    Finsler metric
    0 references
    cubic transformation
    0 references
    torsion tensor
    0 references
    curvature tensor
    0 references

    Identifiers