Wyniki wyszukiwania

1

On minimal generic submanifolds immersed in $S^{2m+1}$

100%

Kon M.

Colloquium Mathematicum

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2001

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tom 90

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nr 2

299-304

EN

We give a pinching theorem for a compact minimal generic submanifold with flat normal connection immersed in an odd-dimensional sphere with standard Sasakian structure.

2

Contact CR-submanifolds with parallel mean curvature vector of a Sasakian space form

64%

U-Hang Ki, Kon M.

Colloquium Mathematicum

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1993

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tom 64

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nr 2

173-184

EN

The purpose of this paper is to study contact CR-submanifolds with nonvanishing parallel mean curvature vector immersed in a Sasakian space form. In §1 we state general formulas on contact CR-submanifolds of a Sasakian manifold, especially those of a Sasakian space form. §2 is devoted to the study of contact CR-submanifolds with nonvanishing parallel mean curvature vector and parallel f-structure in the normal bundle immersed in a Sasakian space form. Moreover, we suppose that the second fundamental form of a contact CR-submanifold commutes with the f-structure in the tangent bundle, and compute the restricted Laplacian for the second fundamental form in the direction of the mean curvature vector. As applications of this, in §3, we prove our main theorems.

3

Reduction of the codimension of a generic minimal submanifold immersed in a complex projective space

64%

Yamagata M., Kon M.

Colloquium Mathematicum

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1997

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tom 74

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nr 2

185-190

4

Sectional curvatures of minimal hypersurfaces immersed in $S^{2n+1}$

51%

Kim H.-J., Ahn S.-S., Kon M.

Colloquium Mathematicum

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1994

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tom 67

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nr 2

309-315

5

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature

51%

Ikawa T., Kon M.

Colloquium Mathematicum

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1977

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tom 37

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nr 1

113-122

6

On some generic minimal submanifolds of an odd-dimensional sphere

44%

Kon M.

Colloquium Mathematicum

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1988

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tom 56

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nr 2

311-317

Ograniczanie wyników

6 Colloquium Mathematicum

6 Kon M.

1 Ahn S.-S.

1 Ikawa T.

1 Kim H.-J.

1 U-Hang Ki

1 Yamagata M.

1 2001

1 1998

1 1994

1 1993

1 1988

1 1977

On minimal generic submanifolds immersed in $S^{2m+1}$

Contact CR-submanifolds with parallel mean curvature vector of a Sasakian space form

Reduction of the codimension of a generic minimal submanifold immersed in a complex projective space

Sectional curvatures of minimal hypersurfaces immersed in $S^{2n+1}$

Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature

On some generic minimal submanifolds of an odd-dimensional sphere