Vector bundles and low-codimensional submanifolds of projective space: a problem list
Michael Schneider (1990)
Banach Center Publications
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Michael Schneider (1990)
Banach Center Publications
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Kratz, Henrik (1997)
Documenta Mathematica
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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.
L’udovít Balko (2021)
Commentationes Mathematicae Universitatis Carolinae
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We compute the height of the third Stiefel--Whitney characteristic class of the canonical bundles over some infinite classes of Grassmann manifolds of five dimensional vector subspaces of real vector spaces.
R. E. Stong (2001)
Fundamenta Mathematicae
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This paper determines the possible Stiefel-Whitney classes for vector bundles over Dold manifolds.
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.
Peter Löffler, Larry Smith (1974)
Mathematische Zeitschrift
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Leonid Polterovich (1991)
Mathematische Zeitschrift
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Antonio Ros (1984)
Mathematische Zeitschrift
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S.M. Gersten (1994)
Geometric and functional analysis
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M. Kalka (1980)
Mathematische Annalen
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Bayram Sahin (2009)
Annales Polonici Mathematici
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Recently, we showed that there exist no warped product semi-slant submanifolds in Kaehler manifolds. On the other hand, Carriazo introduced anti-slant submanifolds as a particular class of bi-slant submanifolds. In this paper, we study such submanifolds in detail and show that they are useful to define a new kind of warped product submanifolds of Kaehler manifolds. In this direction, we obtain the existence of warped product hemi-slant (anti-slant) submanifolds with examples. We give...
Marcos Dajczer, Ruy Tojeiro (1993)
Mathematische Zeitschrift
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Xia Changyu (1991)
Mathematische Zeitschrift
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E.H., Jr. Brown, F.P. Peterson (1979)
Commentarii mathematici Helvetici
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Sibel Sular, Cihan Özgür (2011)
Annales Polonici Mathematici
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We establish sharp inequalities for C-totally real doubly warped product submanifolds in (κ,μ)-contact space forms and in non-Sasakian (κ,μ)-contact metric manifolds.