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
Om immersion below the metastable range - 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

Om immersion below the metastable range (Q1117508)

From MaRDI portal





scientific article; zbMATH DE number 4092363
Language Label Description Also known as
English
Om immersion below the metastable range
scientific article; zbMATH DE number 4092363

    Statements

    Om immersion below the metastable range (English)
    0 references
    0 references
    1989
    0 references
    Given an immersion f: \(M\to {\mathbb{R}}^{3n}\) (where M is a closed smooth manifold of dimension 2n), the author studies the complete obstruction to deforming f into a triple point free immersion. He relates this obstruction to the degree of the map df\(\oplus df: S(TM\oplus TM)\to S^{6n-1}\) and to characteristic numbers, and deduces a few corollaries.
    0 references
    triple point free immersion
    0 references
    degree
    0 references
    characteristic numbers
    0 references

    Identifiers