Results 31 to 40 of about 388 (168)
Nonnegatively curved totally real submanifolds
Mathematische Annalen, 1986 Let M be an n-dimensional nonnegatively curved compact totally real submanifold of an n-dimensional Kähler manifold \(\bar M\) with parallel mean curvature vector. The main purpose of this paper is to classify these submanifolds when \(\bar M\) is the complex Euclidean, projective or hyperbolic space.
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MathematicsIn this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
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Totally real submanifolds in a $6$-sphere.
Michigan Mathematical Journal, 1991 Consider the 6-dimensional Riemannian sphere \(S^ 6\) with constant curvature 1 endowed with the nearly Kähler structure induced from the Cayley divison algebra. Suppose that \(M\) is a 3-dimensional compact totally real submanifold of \(S^ 6\) and let \(k_ 0\) be the infimum of the sectional curvature of \(M\).
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Totally Real Submanifolds in a Quaternion Space Form [PDF]
Czechoslovak Mathematical Journal, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bergman kernel functions associated to measures supported on totally real submanifolds [PDF]
, 2022 George Marinescu, Duc‐Viet Vu
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Totally real minimal submanifolds in a complex projective space [PDF]
Proceedings of the American Mathematical Society, 1982 We give a pinching theorem with respect to the scalar curvatures of 4 4 -dimensional conformally flat totally real minimal submanifolds in a 4 4 -dimensional complex projective space.
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Reduction of the codimension of totally real submanifolds of a complex space from [PDF]
, 1987 U-Hang Ki, Hisao Nakagawa
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Totally real submanifolds of Kaehler product manifolds
Journal of the Egyptian Mathematical Society, 2016 Let \(\bar{M}^{n} (c_{1})\) and \(\bar{M}^{p} (c_{2})\) complex space forms with constant holomorphic sectional curvatures \(c_{1}\) and \(c_{2}\) respectively and the Kählerian product \(\bar{M}=\bar{M}^{n} (c_{1}) \times \bar{M}^{p} (c_{2})\). The aim of this paper is the study totally real submanifolds of Kählerian product manifolds \(\bar{M}=\bar{M}
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Totally real minimal submanifolds in a quaternion projective space [PDF]
, 1996 Ximin Liu
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