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INVARIANT SUBMANIFOLDS OF AN f(3, - l)-MANIFOLD WITH COMPLEMENTED FRAMES

INVARIANT SUBMANIFOLDS OF AN f(3, - l)-MANIFOLD WITH COMPLEMENTED FRAMES DEMONSTRATIO MATHEMATICAVol. X V I I INo 21985M. D. Upadhyay, V. C. GuptaINVARIANT SUBMANIFOLDS OF AN f(3, - l)-MANIFOLDWITH COMPLEMENTED FRAMESThe f(3»+1)-manifolds have been studied by Yano [ l ] , I s h i hara and Yano [2], Goldberg and Yano ([3], [4] ) have studiedthe f ( 3 , 1 ) - m a n i f o l d s with complemented frames. Recently, Yano[3] has obtained c e r t a i n r e s u l t s on i n v a r i a n t submanifoldsof an f(3»1) manifold with complemented frames. The purposeof the present paper i s to study i n v a r i a n t submanifolds ofan f ( 3 , - 1 ) - m a n i f o l d with complemented frames.In seotion 2 we have defined and studied the normalityof an f ( 3 , - 1 ) - s t r u c t u r e with complemented frames. In s e c t i o n 3we have proved t h a t such a s t r u c t u r e induces an almost http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

INVARIANT SUBMANIFOLDS OF AN f(3, - l)-MANIFOLD WITH COMPLEMENTED FRAMES

Upadhyay, M. D.; Gupta, V. C.
Demonstratio Mathematica , Volume 18 (2): 16 – Apr 1, 1985
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Publisher
de Gruyter
Copyright
© by M. D. Upadhyay
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1985-0207
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIO MATHEMATICAVol. X V I I INo 21985M. D. Upadhyay, V. C. GuptaINVARIANT SUBMANIFOLDS OF AN f(3, - l)-MANIFOLDWITH COMPLEMENTED FRAMESThe f(3»+1)-manifolds have been studied by Yano [ l ] , I s h i hara and Yano [2], Goldberg and Yano ([3], [4] ) have studiedthe f ( 3 , 1 ) - m a n i f o l d s with complemented frames. Recently, Yano[3] has obtained c e r t a i n r e s u l t s on i n v a r i a n t submanifoldsof an f(3»1) manifold with complemented frames. The purposeof the present paper i s to study i n v a r i a n t submanifolds ofan f ( 3 , - 1 ) - m a n i f o l d with complemented frames.In seotion 2 we have defined and studied the normalityof an f ( 3 , - 1 ) - s t r u c t u r e with complemented frames. In s e c t i o n 3we have proved t h a t such a s t r u c t u r e induces an almost

Journal

Demonstratio Mathematica – de Gruyter

Published: Apr 1, 1985

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