Euclidean Submanifolds with Nonparallel Normal Space.
Marcos Dajczer (1990)
Mathematische Zeitschrift
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Marcos Dajczer (1990)
Mathematische Zeitschrift
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Dirk Ferus (1974)
Mathematische Zeitschrift
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Chong-Kyu Han (1990)
Mathematische Annalen
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Marcos Dajczer (1982)
Mathematische Zeitschrift
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Banghe Li (1983)
Mathematische Zeitschrift
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Gudlaugur Thorbergsson, Maurice Dajczer (1987)
Mathematische Annalen
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Zi-Zhou Tang (1995)
Manuscripta mathematica
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Minoru Kobayashi (1991)
Revista Matemática de la Universidad Complutense de Madrid
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We study contact normal submanifolds and contact generic normal in Kenmotsu manifolds and in Kenmotsu space forms. Submanifolds mentioned above with certain conditions in forms space Kenmotsu are shown that they CR-manifolds, spaces of constant curvature, locally symmetric and Einsteinnian. Also, the non-existence of totally umbilical submanifolds in a Kenmotsu space form -1 is proven under a certain condition.
R. E. Goodrick (1980)
Annales Polonici Mathematici
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Xia Changyu (1991)
Mathematische Zeitschrift
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Udo Simon, Michael Kozlowski (1984)
Mathematische Zeitschrift
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Carfagna D'Andrea, Antonella (1996)
Beiträge zur Algebra und Geometrie
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Ram Shankar Gupta, S. M. Khursheed Haider, A. Sharfuddin (2006)
Colloquium Mathematicae
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We give some examples of slant submanifolds of cosymplectic manifolds. Also, we study some special slant submanifolds, called austere submanifolds, and establish a relation between minimal and anti-invariant submanifolds which is based on properties of the second fundamental form. Moreover, we give an example to illustrate our result.
Antonio Ros (1984)
Mathematische Zeitschrift
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