Pointwise hemi-slant Riemannian submersions

Mehmet Akif Akyol; Cem Sayar

doi:10.3842/umzh.v75i10.7257

Mehmet Akif Akyol Department of Mathematics, Faculty of Arts and Sciences, Bingöl University, Turkey
Cem Sayar Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, Turkey and Department of Mathematics and Statistics, Florida International University, Miami, FL, USA

DOI: https://doi.org/10.3842/umzh.v75i10.7257

Анотація

УДК 517.98

Точкові напівпохилі ріманові занурення

Запропоновано новий тип занурень, які називаються точковими напівпохилими рімановими зануреннями, як узагальнення похилих ріманових занурень, напівпохилих занурень і поточкових похилих занурень з келерових многовидів на ріманові многовиди. Отримано деякі геометричні інтерпретації цього виду занурень щодо загального многовиду, базового многовиду та волокон. Крім того, наведено нетривіальні наочні приклади, що демонструють наявність таких занурень. Насамкінець отримано кілька рівностей та нерівностей для кривини щодо деякого базису.

Посилання

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