Submanifolds with Prescribed Mean Curvature Vector.
Helmut Reckziegel (1974)
Manuscripta mathematica
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Helmut Reckziegel (1974)
Manuscripta mathematica
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Maria Helena Noronha (1991)
Manuscripta mathematica
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Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Dursun, Uǧur (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Alfonso Romero, Luis J. Alías (1995)
Manuscripta mathematica
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Qing-ming Cheng (1991)
Mathematische Zeitschrift
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Shichang, Shu, Sanyang, Liu (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Qing-Ming Cheng (2005)
Banach Center Publications
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This paper is a survey of results on topological structures and curvature structures of complete submanifolds in a Euclidean space.
P. J. De Smet, F. Dillen, Leopold C. A. Verstraelen, L. Vrancken (1999)
Archivum Mathematicum
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We obtain a pointwise inequality valid for all submanifolds of all real space forms with and with codimension two, relating its main scalar invariants, namely, its scalar curvature from the intrinsic geometry of , and its squared mean curvature and its scalar normal curvature from the extrinsic geometry of in .
Liang-Khoon Koh (1997)
Manuscripta mathematica
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Viktor Schroeder (1989)
Manuscripta mathematica
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Ghazal, Tahsin, Deshmukh, Sharief (1991)
International Journal of Mathematics and Mathematical Sciences
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Esmaeil Abedi, Reyhane Bahrami Ziabari, Mukut Mani Tripathi (2016)
Archivum Mathematicum
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We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, -slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.